DIT University DIT University

Department of
Mathematics

filter

Department of
Mathematics

Department Menu

Research

Area Of Research:

  • Scientific Computing, Numerical Analysis and Differential Equations
  • Distributed System
  • Finsler Geometry
  • Instability Analysis in Fluids, Numerical Analysis
  • Cosmology
  • Bio- Mathematics Modelling
  • Demography and Bio-Statistics
  • Instability analysis in Fluids, Nonlinear Dynamics
  • Nano fluids, Computational Fluid Dynamics
  • Mathematical Biology
  • Operation Research, Fuzzy Set Theory, Optimization Techniques
  • Reliability Theory
  • Sample surveys, Sampling Strategies, Prediction
placement
placement
placement

Area 1:- Fluid Dynamics

Members: Dr. Jogendra Kumar, Dr. Vikas, Dr. Vinod Kumar Gupta

Flow pattern and stability of a horizontal fluid layer heated from below and cooled from above is known as the Rayleigh-Benard convection. This convection mainly depends on the buoyancy force, caused by the temperature difference across the fluid layers; therefore it is also called the natural convection. The classical Rayleigh- Benard convection and its porous analog have been studied extensively due to its wide range of applications, such as in the prediction of ground water movement in aquifers, in the energy extraction process from geothermal reservoirs, petroleum industry, and underground diffusion of contaminants. Presently, we are working in the area of solutal convection, modulated boundaries, triple diffusion, Nanofluids, instability in cylinders.

Design Engineering

Area 2:- MATHEMATICAL MODELLING AND SCIENTIFIC COMPUTING

Members: Prof. Naresh M. Chadha, Dr. Sandeep Sharma, Dr. Fateh Singh

Mathematical modeling of infectious diseases is one of the most important research areas of the current time. An epidemic model enables us to understand and identify the conditions and parameters which are playing pivotal role in disease transmission. In recent past many realistic models pertaining to cancer, dengue, Ebola, SARS, HIV etc. has been formulated and analyzed. These epidemic models may consider a set of ordinary differential equations, partial differential equations, delay differential equations or stochastic differential equations. With the aid of computer algebra and theory of dynamical systems, these models provide key information about the disease dynamics which helps health agencies to reduce the burden of a particular epidemic.

Design Engineering

Area 3:- Soft Computing Techniques

Members: Dr. Dheeraj Kumar Joshi, Dr. Alpa Singh Rajput

Fuzzy decision-making environments provide appropriate methods to treat uncertainties in the form of ambiguity and vagueness. Ambiguity refers to the type of uncertainty in which the selection of multiple options among a set of alternatives is plausible. Uncertainties in decision making problems are by reason of either randomness or fuzziness, or by both and can be classified into stochastic and non-stochastic uncertainty. Comprehensive concurrence of stochastic and non-stochastic uncertainty in real world problems concerned researchers to incorporate theory of probability with fuzzy logic theory. In recent years, technology has advanced at a rapid speed, increasing the complexity of systems and, as a result, the susceptibility of breakdowns. Due to this, the importance of reliability assessment has got new ground and has become an integral part for achieving high performance and life cycle cost of the product.

Materials & Manufacturing Engineering

Area 4:- Demography, Bio-Statistics and Sample Survey

Members: Dr. Nitin K. Kamboj, Dr. Tribhuvan Singh, Dr. Rajni Goel

Sample surveys are a methodology that focuses on selecting a set of individuals capable of representing the target population. The basic idea behind the concept of sample surveys is to gather the information that will boost data collection while doing so within a specific time frame. With suitable sampling strategies, researchers can minimize variance. So, formulation of best estimator is needed to estimate population parameters and through software and mathematical computation, one can demonstrate it. This maximizes the effectiveness of research processes by making the end result and analysis actionable.

Materials & Manufacturing Engineering

Area 5: Cosmology and Differential Geometry

Members: Dr. Shilpi Singhal, Dr. Pooja S. Saxena

Cosmology is the study of the Universe as a whole. As an empirical science, cosmology involves the theoretical modelling of the Universe and its contents, as well as testing model predictions against precise astronomical observations. Cosmology is a branch of astronomy that involves the origin and evolution of the universe, from the Big Bang to today and on into the future. It gives us a better understanding of how the universe works, how our galaxy and solar system were formed, and the potential fate of our Sun, planet, solar system, galaxy, and theories of how the universe will age or even end. Along with the study of the universe it also includes further developing and refining the prevailing model, the Big Bang theory, investigating the universe's rate of expansion.

Undergraduate students of Mathematics Department have several opportunities to participate in mathematical research and directed reading. Mathematics department helps to students in guiding the undergraduate and postgraduate levels in world-class research endeavours to complete their dissertation projects headed by our faculty members. The department of Mathematics offers many research topics like Mathematical modelling, Scientific Computing, Soft computing, Distributed System, Instability analysis in Fluids, Nonlinear Dynamics, Demography and Bio-Statistics, Reliability Theory and so on. As a researcher, you can work in a variety of areas, however you would typically be involved in proving deep and abstract theorems, developing mathematical descriptions (models) to explain or predict real phenomena and applying mathematical principles to identify trends in data sets. Some of the students also learn various software like MATHEMATICA, MATLAB, PYTHON, SPSS and R and do their projects using these softwares.

S.No. NAME DESIGNATION AREA OF RESEARCH
1 Dr. Naresh Mohan Chadha Professor & Dean SOPS Scientific Computing, Applied Mathematics, Mathematical modeling, Non-linear differential Equations from Plasma Physics, Adaptive mesh generation, Singularly perturbed Differential Equations
2 Dr. Rakesh Mohan Professor & DSW Special Functions, Differential Equations & CBNT
3 Dr. Pooja S. Saxena Associate Professor and HOD Mathematics Differential Geometry
4 Dr. Jogendra Kumar Associate Professor Fluid Dynamics, Numerical Analysis, Special Functions, Mathematical Modelling
5 Dr. Shilpi Singhal Assistant Professor-I Cosmology
6 Dr. Fateh Singh Assistant Professor-I Modeling and Simulation, Agricultural and Biological Sciences, Bio-mechanics.
7 Dr. Nitin Kumar Kamboj Assistant Professor-I Demography, Bio-Statistics, Statistical Data Analysis
8 Dr. Vinod Kumar Gupta Assistant Professor-I Instability Problems in Fluids, Bio-thermal convection
9 Dr. Sandeep Sharma Assistant Professor-I Mathematical Biology, Mathematical Modelling
10 Dr. Dheeraj K. Joshi Assistant Professor-II Soft Computing, Fuzzy set theory , Operations Research
11 Dr. Alpa Singh Rajput Assistant Professor-II Soft sets, Soft Topology, Fuzzy Soft Topology
12 Dr. Tribhuvan Singh Assistant Professor-III Statistical Process Monitoring, Runs and Scans Statistics
13 Dr. Vikas Chaurasiya Assistant Professor-III Moving Boundary Problem (Stefan problem), Mathematical modeling in Heat and Mass Transfer Problem, Numerical methods
14 Dr. Rajni Goel Assistant Professor-III Censored data analysis, Statistical Inference, Statistical Simulation, Reliability Analysis.
15 Dr. Shruti Tomer Assistant Professor-III Non-linear PDEs in various fields like Plasma Physics, Geo-physics, Seismology etc., System of Ordinary Differential Equations, Mathematical Modelling
16 Dr. Pervindr Singh Assistant Professor-III Applied Mathematics, Rayleigh Benard Convection, Heat and Mass Transport, Weakly Non-Linear Analysis, Double and Triple diffusive convection problems

S.No. Research Scholar Title of Thesis Supervisor (s) Year of Award
1. Pratibha Tyagi Study Commutative Rings Graded by Finitely Generated Abelian Group Dr. Rakesh Mohan Awarded (2019)
2. Seema Yadav Performance Evaluation of Distributed Processing System Using Soft Computing Techniques Dr. Rakesh Mohan Awarded (2021)
3. Shruti Tomar Numerical study of a few Nonlinear Partial Differential Equations Emerging from plasma physics. Dr. Naresh M. Chadha Awarded (2024)
4. Pervinder Singh A Study of Weakly Non-Linear Stability Analysis on Newtonian and Non-Newtonian Fluids Dr. Naresh M. Chadha Awarded (2024)
5. Soniya Gupta Study and Applications of Hesitant BI-Fuzzy and Probabilistic Dual Hesitant Fuzzy Methods for Decision Making Problems Dr. Dheeraj K. Joshi Ongoing
6. Anil Singh Negi Study of Electro-osmotically Augmented Squeezing Flow Dr. Jogendra Kumar Ongoing

1 Peer Reviewed Articles (Since 2017)
1 Mishra, R. K., & Mohan, R. (2017). A report on graded rings and graded modules. Global Journal of Pure and Applied Mathematics, 13(9), 6827-6853.
2 Tripathi, P. K., Ranjan, R., Pant, R., & Upadhyay, S. K. (2017). An approximate Bayes analysis of ARMA model for Indian GDP growth rate data. Journal of Statistics and Management Systems, 20(3), 399-419.
3 Gupta, V. K., Kumar, A., & Singh, A. K. (2017). Analytical study of weakly nonlinear mass transfer in rotating fluid layer under time-periodic concentration/gravity modulation. International Journal of Non-Linear Mechanics, 97, 22-29.
4 Pratibha, R. K. M. R. M. GRADED FUZZY REPRESENTABLE MODULE AND GRADED FUZZY ATTACHED PRIMES.
5 Keshri, O. P., Kumar, A., & Gupta, V. K. (2018). Magento-solutal convection in Newtonian fluid layer with solutal modulated boundaries. International Journal of Non-Linear Mechanics, 107, 86-93.
6 Kumar, A., & Gupta, V. K. (2018). Study of heat and mass transport in Couple-Stress liquid under G-jitter effect. Ain Shams Engineering Journal, 9(4), 973-984.
7 Gupta, V. K. (2018). Study of mass transport in rotating couple stress liquid under concentration modulation. Chinese journal of physics, 56(3), 911-921.
8 Keshri, O. P., Gupta, V. K., & Kumar, A. (2019). Study of weakly nonlinear mass transport in Newtonian fluid with applied magnetic field under concentration/gravity modulation. Nonlinear Engineering, 8(1), 513-522.
9 Vimala, A., Ranji, S. A., Jyosna, M. T., Chandran, V., Mathews, S. R., & Pappachan, J. M. (2009). The prevalence, risk factors and awareness of hypertension in an urban population of Kerala (South India). Saudi Journal of Kidney Diseases and Transplantation, 20(4), 685.
10 Pradhan, A., Dixit, A., & Singhal, S. (2019). Anisotropic MHRDE model in BD theory of gravitation. International Journal of Geometric Methods in Modern Physics, 16(12), 1950185.
11 Tripathi, P. K., & Upadhyay, S. K. (2019). Bayesian Analysis of Extended Auto Regressive Model with Stochastic Volatility. Journal of the Indian Society for Probability and Statistics, 20(1), 1-29.
12 Keshri, O. P., Kumar, A., & Gupta, V. K. (2019). Effect of internal heat source on magneto-stationary convection of couple stress fluid under magnetic field modulation. Chinese journal of physics, 57, 105-115.
13 N. Awasthi, D. K. Joshi and S. Sachdev, "Discrimination of noise channels on the basis of quantum memory," 2020 International Conference on Advances in Computing, Communication & Materials (ICACCM), 2020, pp. 278-282, doi: 10.1109/ICACCM50413.2020.9212818.
14 Yadav, S., Mohan, R., & Yadav, P. K. (2019). Fuzzy based task allocation technique in distributed computing system. International Journal of Information Technology, 11(1), 13-20.
15 Pratibha, R. K. M. R. M. Graded 2-absorbing primary fuzzy ideals and Graded Weakly 2-Absorbing Primary Fuzzy Ideals.
16 Kumar, J. (2020). A novel two-step iterative scheme based on composite Simpson rule for solving nonlinear equations. J. Math. Comput. Sci., 10(5), 1867-1874.
17 Kumar, A., Gupta, V. K., Meena, N., & Hashim, I. (2020). Effect of rotational speed modulation on the weakly nonlinear heat transfer in Walter-B viscoelastic fluid in the highly permeable porous medium. Mathematics, 8(9), 1448.
18 Joshi, B. C., Mohan, R., & Pankaj, P. (2020). Generalized Invexity and Mathematical Programs. Yugoslav Journal of Operations Research, 31(4), 455-469.
19 Srivastava, I., Singh, F., Kotia, A., & Ghosh, S. K. (2020). MWCNT and graphene nanoparticles additives for energy efficiency in engine oil with regression modeling. Journal of Thermal Analysis and Calorimetry, 1-21.
20 Yadav, S., Mohan, R., & Yadav, P. K. (2020). Task Allocation Model for Optimal System Cost Using Fuzzy C-Means Clustering Technique in Distributed System. Ingénierie des Systèmes d Inf., 25(1), 59-68.
21 Bhattacharyya, D., Singh, G. N., Jawa, T. M., Sayed-Ahmed, N., & Pandey, A. K. (2021). An Exponential-Cum-Sine-Type Hybrid Imputation Technique for Missing Data. Computational Intelligence and Neuroscience, 2021.
22 Sharma, S., & Singh, F. (2021). Backward bifurcation in a cholera model with a general treatment function. SN Applied Sciences, 3(2), 1-8.
23 Kumari, N., Kumar, S., Sharma, S., Singh, F., & Parshad, R. (2021). Basic reproduction number estimation and forecasting of COVID-19: A case study of India, Brazil and Peru. Communications on Pure and Applied Analysis.
24 Sharma, S., & Singh, F. (2021). Bifurcation and stability analysis of a cholera model with vaccination and saturated treatment. Chaos, Solitons & Fractals, 146, 110912.
25 Kumar, A., Hashim, I., Singh, A. K., Gupta, V. K., & Saini, N. (2021). COMBINED EFFECT OF INTERNAL HEATING AND G-JITTER ON WALTER-B VISCOELASTIC FLUID IN HIGHLY PERMEABLE POROUS MEDIUM. Journal of Porous Media, 24(3).
26 Kumar, A., Hashim, I., Singh, A. K., Gupta, V. K., & Saini, N. (2021). COMBINED EFFECT OF INTERNAL HEATING AND G-JITTER ON WALTER-B VISCOELASTIC FLUID IN HIGHLY PERMEABLE POROUS MEDIUM. Journal of Porous Media, 24(3).
27 Joshi, D. K., Awasthi, N., (2021). Probabilistic hesitant fuzzy set based MCDM method with applications in Portfolio selection process. IJFSA, 70-75.
28 Bharadwaj, S., Dubey, A., Kamboj, N. K., Sahoo, A. K., Kang, S. G., & Yadava, U. (2021). Drug repurposing for ligand-induced rearrangement of Sirt2 active site-based inhibitors via molecular modeling and quantum mechanics calculations. Scientific reports, 11(1), 1-25.
29 Gupta, V. K., Keshri, O. P., & Kumar, A. (2021). Effect of rotational speed modulation on weakly nonlinear magneto convective heat transfer with temperature-dependent viscosity. Chinese Journal of Physics, 72, 487-498.
30 Kumar, A., Keshri, O. P., & Gupta, V. K. (2021). G-jitter effect on mass transport in electrically conducting Newtonian fluid. Chinese Journal of Physics, 71, 224-234.
31 Dixit, A., SINGHAL, S., & ZEYAUDDIN, M. (2021). Model for Modified Holographic Ricci Dark Energy in Gravitation Theory of Branc Dicke. Walailak Journal of Science and Technology (WJST), 18(3), 6986-15.
32 Sharma, S. (2021). Modeling the role of information on the spread of online shopping. Computational and Mathematical Methods, 3(5), e1182.
33 Raut, S., Roy, A., Mondal, K. K., Chatterjee, P., & Chadha, N. M. (2021). Non-stationary Solitary Wave Solution for Damped Forced Kadomtsev–Petviashvili Equation in a Magnetized Dusty Plasma with q-Nonextensive Velocity Distributed Electron. International Journal of Applied and Computational Mathematics, 7(6), 1-20.
34 Narla, V. K., Tripathi, D., Bhandari, D. S., & Kumar, J. Peristaltic Pumping of Maxwell Fluids in a Curved Channel: a Model for Intestinal Transport.
35 Joshi, D. K., Awasthi, N., & Chaube, S. (2022). Probabilistic hesitant fuzzy set based MCDM method with applications in Portfolio selection process. Materials Today: Proceedings, 57, 2270-2275.
36 Pandey, A. K., Singh, G. N., Bhattacharyya, D., Ali, A. Q., Al-Thubaiti, S., & Yakout, H. A. (2021). Some Classes of Logarithmic-Type Imputation Techniques for Handling Missing Data. Computational Intelligence and Neuroscience, 2021.
37 Manickam, A., Kumar, P., Dasunaidu, K., Govindaraj, V., & Joshi, D. K. (2021). A stochastic SIR model for analysis of testosterone suppression of CRH-stimulated cortisol in men. International Journal of Modeling, Simulation, and Scientific Computing, 2250021.
38 Dhar, B., Kumar Gupta, P., & Yildirim, A. (2022). Dynamical behaviour of a tumor-immune model focusing on the dosage of targeted chemotherapeutic drug. International Journal of Computer Mathematics, (just-accepted).
39 Awasthi, N., Joshi, D. K., & Sachdev, S. (2022). Dynamics of Quantum Speed Limit Time for Correlated and Uncorrelated Noise Channels. International Journal of Theoretical Physics, 61(4), 1-11.
40 Dhar, B., Gupta, P. K., & Sajid, M. (2022). Solution of a dynamical memory effect COVID-19 infection system with leaky vaccination efficacy by non-singular kernel fractional derivatives. Math. Biosci. Eng, 19, 4341-4367.
41 Awasthi, N., Joshi, D. K., & Sachdev, S. (2022). Study of correlated Markov noise channels and its effect on quantum speed limit. Materials Today: Proceedings, 57, 2334-2337.
42 Awasthi, N., Kumar, J. D., & Sachdev, S. (2022). Variation of quantum speed limit under Markovian and non-Markovian noisy environment. Laser Physics Letters, 19(3), 035201.
43 Singhal, S., Bhoyar, S. R., & Srivastava, V. (2023). Anisotropic Bianchi Type-I String Cosmological Models in Normal Gauge for Lyra’s Manifold with Variable Deceleration Parameter. Bulgarian Journal of Physics, 20(20XX), 1-12.
44 Pandey, M., Sharma, D., & Kamboj, N. K. (2023). Assessing trait emotional intelligence and its relationship with stress and health behaviour in the education sector: An empirical study from Uttarakhand, India. F1000Research, 12(320), 320.
45 Gupta, S. K., Dongul, E. S., Reznik, N. P., Lohia, D., & Kamboj, N. (2022, June). The effect of economic pro-growth initiatives on the recent increase in economic development in the USA millennial entrepreneurs. In AIP Conference Proceedings (Vol. 2413, No. 1). AIP Publishing.
46 Rakesh Mohan, Jogendra Kumar (2022): Application of I-Function of Several Complex Variables in Electric Circuit Theory, GANITA (UGC-Care), Vol.72(1), 2022, pp.291–297.
47 Kumar, S., Sharma, S., Kashyap, A., Kumari, N., & Agarwal, R. P. (2023). Modelling the effect of environmental pollution on Zika outbreak: A case study of Brazil. Discrete and Continuous Dynamical Systems-S, 0-0.
48 Singh, A., Yadav, R. K., Shati, A., Kamboj, N. K., Hasssan, H., Bharadwaj, S., ... & Yadava, U. (2023). Understanding the self-assembly dynamics of A/T absent ‘four-way DNA junctions with sticky ends’ at altered physiological conditions through molecular dynamics simulations. Plos one, 18(2), e0278755.
49 Saxena, P.S.,Connecting functions of Concircular Vector Fields, Advanced Engineering Sciences ,ISSN: 2096-3246, Vol. 54 Issue:02 (December 2022) ,Scopus Indexed (Q3), 5559-5563.
50 Saxena, P.S.,"Role of (α,β) metric in hypersurface of a finsler space and mth root metrices in randers change of finsler space," Journal of North Eastern university, ISSN: 1005-3026, vol. 26 issue01, 2023(january 2023), scopus indexed (Q4), 463-469.
51 Jitendra, Chaurasiya, Vikas, Rai, Kabindra Nath and Singh, Jitendra. "Numerical simulation of a non-classical moving boundary problem with control function and generalized latent heat as a function of moving interface" Zeitschrift für Naturforschung A, 2023. Q3, SCI Indexed. https://doi.org/10.1515/zna-2023-0226
52 Pankaj Mishra, Dhirendra Kumar, Jogendra Kumar, Abdel-Haleem Abdel-Aty (August 2022): Analysis of heat transfer with variable thermal conductivity and entropy generation non- Darcian MHD Williamson micropolar fluid flow through porous media, Case Studies in Thermal Engineering, (Q1 Journal), (IF 6.268), Vol 36, pp 1–11, Elsevier.
53 Gupta, S., Joshi, D. K., Awasthi, N., Chaube, S., & Joshi, B. (2023, February). Distance and Similarity Measures of Hesitant Bi-Fuzzy Set and Its Applications in Pattern Recognition Problem. In International Conference on Computer Vision and Robotics (pp. 77-91). Singapore: Springer Nature Singapore.
54 Pankaj Mishra, Y. Dharmendar Reddy, B. Shankar Goud, Dhirendra Kumar, Jogendra Kumar, Piyush Kumar Singh (September 2022): Study on Linear and Non-linear Stability Analysis of Double Diffusive Electro-convection in Couple stress Anisotropic fluid-saturated Rotating Porous Layer, Journal of the Indian Chemical Society, Elsevier, (Q4 Journal), (IF 2.25)
55 Chaube, S., Joshi, D. K., & Ujarari, C. S. (2023). Hesitant Bifuzzy Set (an introduction): A new approach to assess the reliability of the systems. Mathematics and Computers in Simulation, 205, 98-107.
56 Gupta, S., Joshi, D. K., Awasthi, N., Chaube, S., & Joshi, B. (2023, February). Distance and Similarity Measures of Hesitant Bi-Fuzzy Set and Its Applications in Pattern Recognition Problem. In International Conference on Computer Vision and Robotics (pp. 77-91). Singapore: Springer Nature Singapore.
57 Awasthi, N., & Joshi, D. K. (2023). Sustainability of entanglement sudden death under the action of memory channel. Laser Physics Letters, 20(2), 025202.
Joshi, D. K., & Awasthi, N. (2022). Novel Distance and Similarity Measures for Probabilistic Hesitant Fuzzy Set and Its Applications in Stock Selection Problems. International Journal of Fuzzy System Applications (IJFSA), 11(1), 1-20.
58 Manickam, A., Kumar, P., Dasunaidu, K., Govindaraj, V., & Joshi, D. K. (2022). A stochastic SIR model for analysis of testosterone suppression of CRH-stimulated cortisol in men. International Journal of Modeling, Simulation, and Scientific Computing, 13(03), 2250021.
59 Kumar, S., Sharma, S., Kashyap, A., Kumari, N., & Agarwal, R. P. (2023). Modelling the effect of environmental pollution on Zika outbreak: A case study of Brazil. Discrete and Continuous Dynamical Systems-S, 0-0.
60 Singh, A., Yadav, R. K., Shati, A., Kamboj, N. K., Hasssan, H., Bharadwaj, S., ... & Yadava, U. (2023). Understanding the self-assembly dynamics of A/T absent ‘four-way DNA junctions with sticky ends’ at altered physiological conditions through molecular dynamics simulations. Plos one, 18(2), e0278755.
Saxena, P.S.,Connecting functions of Concircular Vector Fields, Advanced Engineering Sciences ,ISSN: 2096-3246, Vol. 54 Issue:02 (December 2022) ,Scopus Indexed (Q3), 5559-5563.
61 Saxena, P.S.,"Role of (α,β) metric in hypersurface of a finsler space and mth root metrices in randers change of finsler space," Journal of North Eastern university, ISSN: 1005-3026, vol. 26 issue01, 2023(january 2023), scopus indexed (Q4), 463-469.
62 Pankaj Mishra, Dhirendra Kumar, Jogendra Kumar, Abdel-Haleem Abdel-Aty (August 2022): Analysis of heat transfer with variable thermal conductivity and entropy generation non- Darcian MHD Williamson micropolar fluid flow through porous media, Case Studies in Thermal Engineering, (Q1 Journal), (IF 6.268), Vol 36, pp 1–11, Elsevier.
63 Jitendra, Chaurasiya, Vikas, Rai, Kabindra Nath and Singh, Jitendra. "Numerical simulation of a non-classical moving boundary problem with control function and generalized latent heat as a function of moving interface" Zeitschrift für Naturforschung A, 2023. Q3, SCI Indexed. https://doi.org/10.1515/zna-2023-0226
64 Pankaj Mishra, Y. Dharmendar Reddy, B. Shankar Goud, Dhirendra Kumar, Jogendra Kumar, Piyush Kumar Singh (September 2022): Study on Linear and Non-linear Stability Analysis of Double Diffusive Electro-convection in Couple stress Anisotropic fluid-saturated Rotating Porous Layer, Journal of the Indian Chemical Society, Elsevier, (Q4 Journal), (IF 2.25)
65 Vikas Chaurasiya, (June 2024) “Analytical modeling of desublimation of a phase change material (PCM) in a porous medium with temperature-dependent volumetric heat sink and convection due to air mixed vapor”. Numerical Heat Transfer, Part A. Available online. doi.org/10.1080/10407782.2024.2364857 (Q2 Category Journal)
66 Susheel Kumar, Vikas Chaurasiya, Jitendra Singh, (May 2024), A computational study of binary eutectic system with convection under volumetric freezing: A moving boundary problem, Thermal Science and Engineering Progress, Available online. doi.org/10.1016/j.tsep.2024.102563. (Q1 Category Journal)
67 Virendra Upadhyay, Pooja Maurya, Surya Kant Chaturvedi, Vikas Chaurasiya, Dinesh Kumar, (June 2024), A mathematical analysis and simulation for F-L effect in two layered blood flow through capillaries, remote from the heart proximate to the human tissue, Symmetry. Available online. doi.org/10.3390/sym16060728. (Q2 Category Journal)
68 Vikas Chaurasiya, Subrahamanyam Upadhyay, KN Rai, Jitendra Singh, (November 2023), Taylor Galerkin Legendre-wavelet approach to the analysis of a moving fin with size-dependent thermal conductivity and temperature-dependent internal heat generation. Journal of Thermal Analysis and Calorimetry. Available online. doi.org/10.1007/s10973-023-12613-3. (Q1 Category Journal)
69 Jitendra, Vikas Chaurasiya, K.N. Rai, Jitendra Singh (December 2023), Numerical simulation of a non-classical moving boundary problem with control function and generalized latent heat as a function of moving interface. Zeitschrift für Naturforschung A. Available online. doi.org/10.1515/zna-2023-0226
70 Alpa Singh Rajput, Mahima Thakur, S. S. Thakur , Fuzzy soft set connected mappings , Ratio Mathematica , Vol 48 , 2023.

71		 Pervinder Singh, Vinod K. Gupta, N.M. Chadha (June 2024): Study of Heat and Mass transports due to modulated rotational flow in a triply diffusive Newtonian Liquid saturated porous medium/fluid layer: A Comparative Study, vol. 108, pp. 109449, International Journal of Heat and Fluid Flow, Available online, https://doi.org/10.1016/j.ijheatfluidflow.2024.109449.
72 Preeti Rangdal, Vinod K. Gupta, I. L. Animasaun, T. Muhammad (February 2024), Unveiling the intricacies: Exploring the impact of concentration modulation on weakly nonlinear thermal instability in a rotating porous medium, Chinese Journal of Physics, Available online. https://doi.org/10.1016/j.cjph.2024.02.005.
73 A. Jakhar, Anand Kumar, Vinod K. Gupta (October 2023), Weakly nonlinear instability analysis of triple diffusive convection under internal heat generator and modulated boundaries, Physics of Fluids, AIP, Available Online. doi: 10.1063/5.0169618
74 A. Jakhar, Anand Kumar, Vinod K. Gupta (August 2023), Study of weakly nonlinear double-diffusive magneto-convection under concentration modulation, Heat Transfer, Wiley, Available online. Doi. https://doi.org/10.1002/htj.22939
75 Soniya Gupta, Dheeraj Kumar Joshi, Natasha Awasthi, Manish Pant, Bhagawati prasad Joshi, and Shshank Chaube (May 2024) "Distance and similarity measures of Hesitant bi-fuzzy set and its applications in renewable energy systems." Mathematics and Computers in Simulation 219 (2024): 321-336. https://doi.org/10.1016/j.matcom.2023.12.021, (SCI, Q1 Category Journal, IF 4.6)
76 Rawat, Sawan Kumar, Moh Yaseen, Manish Pant, Chandan Singh Ujarari, Dheeraj Kumar Joshi, Shshank Chaube, Anup Singh Negi, and Manoj Kumar (SEP 2024) "Designing soft computing algorithms to study heat transfer simulation of ternary hybrid nanofluid flow between parallel plates in a parabolic trough solar collector: case of artificial neural network and particle swarm optimization." International Communications in Heat and Mass Transfer 148 (2023): 107011. https://doi.org/10.1016/j.icheatmasstransfer.2023.107011 (SCI, Q1 Category Journal, IF 7.0)
77 Gupta, Soniya, Dheeraj Kumar Joshi, Natasha Awasthi, Shshank Chaube, and Bhagwati Joshi. (Sep 2024) "Distance and Similarity Measures of Hesitant Bi-Fuzzy Set and Its Applications in Pattern Recognition Problem." In International Conference on Computer Vision and Robotics, pp. 77-91. Singapore: Springer Nature Singapore, 2023. (Scopus, Q2 Category)
78 Gupta, Soniya, and Dheeraj Kumar Joshi (March 2024) "ORESTE approach for sustainable supplier selection problem with probabilistic dual hesitant fuzzy information." In AIP Conference Proceedings, vol. 3025, no. 1. AIP Publishing, 2024. https://doi.org/10.1063/5.0201369 (Scopus)
79 Joshi, Bhagawati Prasad, Dinesh Kumar, Dheeraj Kumar Joshi, Sanjay Oli, Ashish Rayal, and Shailendra Giri (March 2024) "Utilizing a Hybrid Geometric Operator for AIFS Data in Renewable-Energy-Source Classification." In 2024 2nd International Conference on Intelligent Data Communication Technologies and Internet of Things (IDCIoT), pp. 298-302. IEEE, 2024. https://doi.org/10.1109/IDCIoT59759.2024.10467252 (Scopus, Q1 Category Journal)
80 Sandeep Sharma "Global Stability of a Cholera Model with a Generalized Treatment Function." Differential Equations and Dynamical Systems (2024): 1-15.
81 Prasoon Pandey, Lubhna Uniyal, and Sandeep Sharma. "Modelling the adverse impacts of urbanization on human health." Computational and Mathematical Biophysics 12, no. 1 (2024): 20240003.
82 Sumit Kumar, Sandeep Sharma, Atul Kashyap, and Nitu Kumari. "Role of Pollution in the Recent Zika Outbreak in Colombia: A Mathematical Study." Journal of Applied Nonlinear Dynamics 13, no. 03 (2024): 491-505.
83 Himani Pant, and S. B. Singh. "Multi-objective optimization of a sequentially inspected system prone to revealing and non-revealing failures via particle swarm optimization and a fuzzy method." Journal of Industrial and Production Engineering (2024): 1-14.
84 Mintu Kumar, Himani Pant, and S. B. Singh. "Fuzzy Reliability and Availability of System under a Calendar-based Inspection Involving Multiple Failures and Its Application to Wind Turbine System." Journal of Systems Science and Systems Engineering 33.2 (2024): 187-206.
85 Himani Pant, and S. B. Singh. "Multi-Objective Inspection Optimization of Periodically Inspected Multi-Failure Mode System." International Journal of Reliability, Quality and Safety Engineering 31.02 (2024): 2450003.
86 Tribhuvan Singh. “Statistical design of ARL-unbiased exponential chart with runs and scans rules”. Brazilian Journal of Probability and Statistics, (2024)
S.No. Book Chapters (Since 2017)
1 Singh, P., Sharma, A., Sharma, S., & Narula, P. (2022). Estimation of Reproduction Number of COVID-19 for the Northeastern States of India Using SIR Model. In Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy (pp. 181-189). Springer, Singapore.
2 Chadha, N. M., Raut, S., Mondal, K., & Tomar, S. (2022). Analytical Solution of a Time-Fractional Damped Gardner Equation Arising from a Collisional Effect on Dust-ion-acoustic Waves in a Dusty Plasma with Bi-Maxwellian Electrons. In Handbook of Fractional Calculus for Engineering and Science (pp. 121-149). Chapman and Hall/CRC.
3 Analysis of Modified Factional Epidemiological Model for Computer Viruses, Jogendra Kumar.
4 Oyakhire, F. I., Louis, O., & Kumar, J. A New High-Order Compact Finite Difference Scheme for One-Dimensional Helmholtz Equation using Dirichlet Boundary Conditions. In Computing and Simulation for Engineers (pp. 37-55). CRC Press.
5 Sharma, S., Sharma, A., & Singh, F. (2021, February). Did the COVID-19 Lockdown in India Succeed? A Mathematical Study. In International Conference on mathematical Modelling and Computational Intelligence Techniques (pp. 21-38). Springer, Singapore.
6 Kamboj, N. K., Sharma, S., & Sharma, S. (2021). Modelling and Sensitivity Analysis of COVID-19 Under the Influence of Environmental Pollution. In Mathematical Analysis for Transmission of COVID-19 (pp. 309-323). Springer, Singapore.
7 Role of Applied Statistical Techniques in Interdisciplinary Research, N. K. Kamboj, Jabrinder Singh, ISBN 978-981-33-6264-2 (eBook)
8 Singh, H., Singh, J., Purohit, S. D., & Kumar, D. (Eds.). (2021). Advanced Numerical Methods for Differential Equations: Applications in Science and Engineering. CRC Press.
9 "Programming In MATLAB" with Applied Numerical Mehtods for Engineers & Scientists, Notion Press, ISBN: 978-1637812693
10 Kumar, S., Sharma, S., Singh, F., Bhatnagar, P. S., & Kumari, N. (2021). A mathematical model for COVID-19 in Italy with possible control strategies. In Mathematical analysis for transmission of COVID-19 (pp. 101-124). Springer, Singapore.
11 An exponential Fourier series for the multi-variable I-Function and a general class of polynomials, Rubicon Publications, London, 9781913482527.
12 Yadav, S., Mohan, R., Yadav, P. K., & Verma, G. (2019, February). Analytical Literature Survey on Existing Task Allocation Techniques in Distributed System. In Proceedings of 2nd International Conference on Advanced Computing and Software Engineering (ICACSE).
13 Awasthi, N., Joshi, D. K., & Sachdev, S. (2020, August). Discrimination of noise channels on the basis of quantum memory. In 2020 International Conference on Advances in Computing, Communication & Materials (ICACCM) (pp. 278-282). IEEE.
S.No. Name of Inventor/s Title with name of patent agency Status
1 Dr. Dheeraj Kumar Joshi A probabilistic fuzzy set and CPBD approach-based model for fuzzy time series forecasting (Indian patent) Published
2 Dr. Pooja S. Saxena An Analysis of Mathematical Modelling in Human Population Dynamics (Indian Patent) Published
3 Dr. Dheeraj Kumar Joshi Assessment of Systems Reliability based on Hesitant Bifuzzy Set (Indian patent) Published
4 Dr. Dheeraj Kumar Joshi An Intelligent Home Automation System (German Patent) Published
5 Dr. Alpa Singh Rajput Machine Learning Powered Fake Currency Identification Device. Government of India, 4/9/23 Granted
6 Dr. Alpa Singh Rajput Method and System for Modeling Hesitant Bipolar-Valued Fuzzy Graphs in Mathematics, Aug 23 Published
7 Dr. Dheeraj K. Joshi Sustainability of Entanglement Sudden Death Under the Action of Memory Channel, Indian Patent Published