Research Associate, Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal – 721302, India (January, 2017 – March, 2018).
Research Interest
Population Balance Problems
Mathematical Analysis of ODEs and PDEs
Numerical Analysis (stability, consistency and convergence)
Application of Semi-analytical Methods like ADM, HAM etc.
Semigroup Theory of Operators
Teachings
UG Students
Data Not Found!
PG Students
Nikhil Sourav
Faculty at Resonance Edventures (P) Ltd
Semi Analytical Methods for Solving Differential Equations (MSc. at NIT Tiruchirappalli, 2021)
Nikhil Sourav
Faculty at Resonance Edventures (P) Ltd
Semi Analytical Methods for Solving Differential Equations (MSc. at NIT Tiruchirappalli, 2021)
Nilanjana Das
Numerical Solutions of Breakage Population Balance Equations (MSc. NIT Tiruchirappalli 2022)
Nilanjana Das
Numerical Solutions of Breakage Population Balance Equations (MSc. NIT Tiruchirappalli 2022)
Harshit Bhatt
PhD in Applied Mathematics at North Carolina State University
Solutions for the Population Balance models for Growth and Nucleation (MSc at NIT Tiruchirappalli, 2022)
Harshit Bhatt
PhD in Applied Mathematics at North Carolina State University
Solutions for the Population Balance models for Growth and Nucleation (MSc at NIT Tiruchirappalli, 2022)
Shivani Garg
Assistant Manager, City Union Bank
Wavelet Analysis and its Applications (MSc at NIT Tiruchirappalli, 2023)
Shivani Garg
Assistant Manager, City Union Bank
Wavelet Analysis and its Applications (MSc at NIT Tiruchirappalli, 2023)
Sarita
Research Scholar at IIT Ropar
Fractional Differential Equations and their Applications
Sarita
Research Scholar at IIT Ropar
Fractional Differential Equations and their Applications
Vikas Prasad
Assistant Manager, City Union Bank
Solving Differential Equations using Artificial Neural Networks (MSc. at NIT Tiruchirappalli, 2024)
Vikas Prasad
Assistant Manager, City Union Bank
Solving Differential Equations using Artificial Neural Networks (MSc. at NIT Tiruchirappalli, 2024)
Animesh Shit
Faculty at Allen
Finite Time Blow-up of Solutions in a Class of Chemotaxis System (MSc at NIT Tiruchirappalli, 2025)
Animesh Shit
Faculty at Allen
Finite Time Blow-up of Solutions in a Class of Chemotaxis System (MSc at NIT Tiruchirappalli, 2025)
Sonu Kumar
Solution of time-fractional Predator-Prey system (MSc. at NIT Tiruchirappalli, 2026)
Sonu Kumar
Solution of time-fractional Predator-Prey system (MSc. at NIT Tiruchirappalli, 2026)
Shakil Anowar
Numerical Analysis of Haar wavelet methods for 2D Nonlinear Evolution Equations (MSc at NIT Tiruchirappalli, 2026)
Shakil Anowar
Numerical Analysis of Haar wavelet methods for 2D Nonlinear Evolution Equations (MSc at NIT Tiruchirappalli, 2026)
Post-Doctoral Students
Dr. S. Gnanasekaran
Research Associate - I
Biological modeling, Numerical simulation
Dr. S. Gnanasekaran
Research Associate - I
Biological modeling, Numerical simulation
Doctoral Students
Dr. Arijit Das
Assistant Professor, Thapar Institite of Engineering and Technology
Mathematical analysis of Integro-differential equations
Mathematical Study of a Discrete Aggregation Model. (Thesis synopsis). [Degree awarded at NIT Tiruchirappalli on 24/06/2024]
Dr. Arijit Das
Assistant Professor, Thapar Institite of Engineering and Technology
Mathematical analysis of Integro-differential equations
Mathematical Study of a Discrete Aggregation Model. (Thesis synopsis). [Degree awarded at NIT Tiruchirappalli on 24/06/2024]
Dr. Prakrati Kushwah
National Post Doctoral Fellow (N-PDF), Department of Mathematcis, Indian Institute of Technology Guwahati
Modeling and simulation of various particulate processes.
Numerical Solution Of Nonlinear Particulate Models. (Thesis synopsis) [Degree awarded at NIT Tiruchirappalli on 10/07/2025]
Dr. Prakrati Kushwah
National Post Doctoral Fellow (N-PDF), Department of Mathematcis, Indian Institute of Technology Guwahati
Modeling and simulation of various particulate processes.
Numerical Solution Of Nonlinear Particulate Models. (Thesis synopsis) [Degree awarded at NIT Tiruchirappalli on 10/07/2025]
Dr. Amit Paswan
Numerical solutions of simultaneous particulate models.
Solution Methodologies for Multivariate Nonlinear Particulate Models. (Thesis synopsis) [Degree awarded at NIT Tiruchirappalli on March, 2026]
Dr. Amit Paswan
Numerical solutions of simultaneous particulate models.
Solution Methodologies for Multivariate Nonlinear Particulate Models. (Thesis synopsis) [Degree awarded at NIT Tiruchirappalli on March, 2026]
Dr. Farel William Viret Kharchandy
Mathematical analysis of non-equilibrium steady-sates for various nonlinear particulate models.
Steady-state Solutions to Nonlinear Particulate Models. (Thesis synopsis) [Degree awarded at NIT Tiruchirappalli on April, 2026]
Dr. Farel William Viret Kharchandy
Mathematical analysis of non-equilibrium steady-sates for various nonlinear particulate models.
Steady-state Solutions to Nonlinear Particulate Models. (Thesis synopsis) [Degree awarded at NIT Tiruchirappalli on April, 2026]
Anupama Ghorai
Senior Research Fellow, Department of Mathematics, NIT Tiruchirappalli
Mathematical analysis of reaction-diffusion problems
Anupama Ghorai
Senior Research Fellow, Department of Mathematics, NIT Tiruchirappalli
Mathematical analysis of reaction-diffusion problems
Projects
Sl.No.
Title
Name of the PI
Name of the CoPIs
Funding Agency
Amount (Rs.)
Project Type
Project Status
Date of Initiation
Date of Completion
1
Understanding Solutions in Chemotaxis-Driven Biological Systems: Existence, Blow-up and Asymptotic Behavior.
Jitraj Saha
NA
Anusandhan National Research Foundation (ANRF) under the scheme Advanced Research Grants (ARG)-MATRICES
3,000,000
Sponsored
Ongoing
2026-04-28
2031-04-27
2
The nonlinear evolution equations for particulate models: Well-posedness, Asymptotic analysis and Numerical simulations.
Jitraj Saha
NA
Anusandhan National Research Foundation (ANRF) under the scheme Core Research Grants (CRG)
3,280,283
Sponsored
Ongoing
2024-05-28
2027-05-27
3
Analytical solutions for the population balance models representing collision induced random scission.
Jitraj Saha
NA
Dean Research & Consultancy (R & C) under the Seed Grant, National Institute of Technology Tiruchirappalli.
500,000
Sponsored
Completed
2019-07-31
2022-06-30
Projects
Sl.No.
Title
Name of the PI
Name of the CoPIs
Funding Agency
Amount (Rs.)
Project Type
Project Status
Date of Initiation
Date of Completion
1
Understanding Solutions in Chemotaxis-Driven Biological Systems: Existence, Blow-up and Asymptotic Behavior.
Jitraj Saha
NA
Anusandhan National Research Foundation (ANRF) under the scheme Advanced Research Grants (ARG)-MATRICES
3,000,000
Sponsored
Ongoing
2026-04-28
2031-04-27
2
The nonlinear evolution equations for particulate models: Well-posedness, Asymptotic analysis and Numerical simulations.
Jitraj Saha
NA
Anusandhan National Research Foundation (ANRF) under the scheme Core Research Grants (CRG)
3,280,283
Sponsored
Ongoing
2024-05-28
2027-05-27
3
Analytical solutions for the population balance models representing collision induced random scission.
Jitraj Saha
NA
Dean Research & Consultancy (R & C) under the Seed Grant, National Institute of Technology Tiruchirappalli.
1. Non-equilibrium steady-state solution in aggregation fragmentation
systems with injection: Extended analysis for multi-component systems Farel William Viret Kharchandy, Vamsinadh Thota, Jitraj Saha Zeitschrift für angewandte Mathematik und Physik (ZAMP)
77, Article 197
SCI
https://doi.org/10.1007/s00033-026-02844-3
2026
2026
2. Solutions of mixed population balance equation with nonlinear multivariate aggregation, breakage and growth Amit Paswan, Anupama Ghorai, Jitraj Saha Numerical Methods for Partial Differential Equations.
42 (4), e70115
SCI
https://doi.org/10.1002/num.70115
2026
2026
3. A note on the analytical approach and its efficiency for solving multivariate breakage population balance equations Prakrati Kushwah, Jitraj Saha, Stefan Heinrich Advanced Powder Technology
37 (8), Article 105344
SCI
https://doi.org/10.1016/j.apt.2026.105344
2026
2026
4. Accelerated semi-analytical framework of encounter-driven Lifshitz–Slyozov model in supersaturated solutions. Prakrati Kushwah, Jitraj Saha and Andreas Bueck. Mathematics and Computers in Simulation.
248, Pages 824-845.
SCI
https://doi.org/10.1016/j.matcom.2026.04.043
2026
2026
5. Global existence and stability in a class of chemotaxis systems with lethal interactions, nonlinear diffusion and production. Gnanasekaran S., Jitraj Saha. Nonlinear Analysis
268, Article 114079.
SCI
https://doi.org/10.1016/j.na.2026.114079
2026
2026
6. Convergence to the steady-state solutions of the multi-variate Redner-Ben-Avraham-Kahng cluster system with source injection. Farel William Viret Kharchandy, Jitraj Saha and Vamsinadh Thota. Journal of Physics A: Mathematical and Theoretical.
59 (5), Article 055701.
SCI
https://iopscience.iop.org/article/10.1088/1751-8121/ae3bbb
2026
2026
7. The simultaneous effect of chemotaxis and alarm-taxis on the global existence and stability of a predator-prey system. Gnanasekaran S., Jitraj Saha, Rafael Diaz Fuentes. Mathematical Methods in the Applied Sciences.
49 (8), Pages 8383-8424
SCI
https://doi.org/10.1002/mma.70477
2026
2026
8. A review on the efficiency of iterative techniques for solving multivariate nonlinear particulate problems. Amit Paswan, Jitraj Saha. Mathematical Methods in the Applied Sciences.
49 (8), Pages 7946-7960
SCI
https://doi.org/10.1002/mma.70455
2026
2026
9. Convergence-rate and error analysis of a cell average technique for collisional breakage equation with bivariate modeling. Prakrati Kushwah, Anupama Ghorai, Jitraj Saha. Zeitschrift für angewandte Mathematik und Physik (ZAMP)
77 (2), Article 45.
SCI
https://doi.org/10.1007/s00033-025-02696-3
2026
2026
10. Stationary-state solutions to the continuous Redner-Ben-Avraham-Kahng cluster system due to injection of source and efflux. Farel William Viret Kharchandy, Vamsinadh Thota, Jitraj Saha. Zeitschrift für angewandte Mathematik und Physik (ZAMP)
77 (2), Article 51.
SCI
https://doi.org/10.1007/s00033-025-02690-9
2026
2026
11. An improved meshfree approach for solving nonlinear multivariate models involving aggregation, breakage, growth and source. Amit Paswan, Jitraj Saha, Stefan Heinrich. Advanced Powder Technology
37 (1), Article 105145.
SCI
https://doi.org/10.1016/j.apt.2025.105145
2026
2025
12. Solution of coupled nonlinear hyperbolic type aggregation-breakage models with two-dimensional extension. Amit Paswan, Prakrati Kushwah, Vamsinadh Thota, Jitraj Saha. Chaos, Solitons & Fractals
199 (2), Article 116773.
SCI
https://doi.org/10.1016/j.chaos.2025.116773
2025
2025
13. Existence,
stability and nonlinear estimates of stationary-state solutions to the
nonlinear aggregation with collision-induced fragmentation model. Farel William Viret Kharchandy, Vamsinadh Thota, Jitraj Saha. Physica D: Nonlinear Phenomena
475, Article 134579.
SCI
https://doi.org/10.1016/j.physd.2025.134579
2025
2025
14. An
insight into discrete and accelerated decomposition techniques for
improved accuracy of multi-dimensional hyperbolic aggregation model
arising in bubble column. Prakrati Kushwah, Kamalika Roy, Andreas Bück, Jitraj Saha. Physics of Fluids
37 (3), Article 033310.
SCI
https://doi.org/10.1063/5.0255081
2025
2024
15. Performance
analysis and accuracy of numerical methods for solving simultaneous
nonlinear particulate processes with multidimensional extension. Prakrati Kushwah, Jitraj Saha. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
480 (2300), Article 20240293
SCI
https://doi.org/10.1098/rspa.2024.0293
2024
2024
16. Approximate
solutions to the nonlinear hyperbolic population balance equation:
Convergence, error estimate and numerical simulations. Arijit Das, Jitraj Saha. Zeitschrift für angewandte Mathematik und Physik (ZAMP)
75 (4), Article 125
SCI
https://doi.org/10.1007/s00033-024-02264-1
2024
2024
17. Trend to equilibrium solution for the discrete Safranov-Dubovskii aggregation equation with forcing. Arijit Das, Jitraj Saha Proceedings of the Royal Society Edinburgh. Section A: Mathematics
155 (3), Pages 869-892
SCI
https://doi.org/10.1017/prm.2023.116
2024
2024
18. Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation. Arijit Das, Prakrati Kushwah, Jitraj Saha, Mehakpreet Singh. Applied Numerical Mathematics
196, Pages 118-132
SCI
https://doi.org/10.1016/j.apnum.2023.10.010
2024
2023
19. New
semi-analytical approach and its convergence analysis for a classical
hyperbolic fragmentation model: A homotopy perturbation method. Prakrati Kushwah, Amit Paswan, Vamsinadh Thota, Jitraj Saha, Mehakpreet Singh, Kevin Moroney. Journal of Computational Science
73, Article 102135
SCI
https://doi.org/10.1016/j.jocs.2023.102135
2023
2023
20. Population balance equation for collisional breakage: A new numerical solution scheme and its convergence. Prakrati Kushwah, Arijit Das, Jitraj Saha, Andreas Bück. Communications in Nonlinear Science and Numerical Simulation
121, Article 107244
SCI
https://doi.org/10.1016/j.cnsns.2023.107244
2023
2023
21. Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation. Jitraj Saha, Mehakpreet Singh. Numerische Mathematik
153 (2-3), Pages 531-555
SCI
https://doi.org/10.1007/s00211-023-01344-0
2023
2023
22. A note on the volume conservative solution to simultaneous aggregation and collisional breakage equation. Farel William Viret Kharchandy, Arijit Das, Vamsinadh Thota, Jitraj Saha, Mehakpreet Singh. Axioms
12 (2), Article 181
SCI
https://doi.org/10.3390/axioms12020181
2023
2023
23. Improved accuracy and convergence of homotopy-based solutions for aggregation-fragmentation models Prakrati Kushwah, Jitraj Saha. Mathematical Methods in the Applied Sciences
46 (6), Pages 7180-7200
SCI
https://doi.org/10.1002/mma.8963
2023
2023
24. On the mass conserving solutions to the singular kernel coagulation with multi-fragmentation. Arijit Das, Jitraj Saha. Japan Journal of Industrial and Applied Mathematics
40 (1), Pages 563-588
SCI
https://doi.org/10.1007/s13160-022-00544-9
2023
2022
25. The discrete Safronov-Dubovski aggregation equation: Instantaneous gelation and nonexistence theorem. Arijit Das, Jitraj Saha. Journal of Mathematical Analysis and Applications
514 (1), Article 126310
SCI
https://doi.org/10.1016/j.jmaa.2022.126310
2022
2022
26. Existence and uniqueness of mass conserving solutions to the coagulation and collision-induced breakage equation. Arijit Das, Jitraj Saha. The Journal of Analysis
30 (3), Pages 1323-1340
SCI/SCOPUS
https://doi.org/10.1007/s41478-022-00407-z
2022
2021
27. On the global solutions of discrete Safronov-Dubovskii aggregation equation. Arijit Das, Jitraj Saha. Zeitschrift für angewandte Mathematik und Physik (ZAMP).
72 (5), Article 183
SCI
https://doi.org/10.1007/s00033-021-01612-9
2021
2021
28. An application of semigroup theory to the coagulation-fragmentation models. Arijit Das, Nilima Das, Jitraj Saha. Turkish Journal of Mathematics.
45 (5), Pages 2282-2294
SCI
https://doi.org/10.3906/mat-2101-114
2021
2021
29. Conservative finite volume schemes for multidimensional fragmentation problems. Jitraj Saha, Andreas Bück. Mathematics
9 (6), Article 635
SCI
https://doi.org/10.3390/math9060635
2021
2021
30. Improved accuracy and convergence analysis of finite volume methods for particle fragmentation models. Jitraj Saha, Andreas Bück. Mathematical Methods in the Applied Sciences.
44 (2), Pages 1913-1930
SCI
https://doi.org/10.1002/mma.6890
2021
2020
31. Existence and uniqueness of a steady-state solution to a singular coagulation-fragmentation equation. Debdulal Ghosh, Jitraj Saha, Jitendra Kumar. Journal of Computational and Applied Mathematics.
380, Article 112992
SCI
https://doi.org/10.1016/j.cam.2020.112992
2020
2020
32. An application of semigroup theory to pure fragmentation equation. Nilima Das, Jitraj Saha, Jitendra Kumar. The Journal of Analysis.
28 (1), Pages 95-106
SCI/SCOPUS
https://doi.org/10.1007/s41478-017-0045-6
2020
2019
33. Numerical solutions for multidimensional fragmentation problems using finite volume methods. Jitraj Saha, Nilima Das, Jitendra Kumar, Andreas Bück. Kinetic and Related Models.
12 (1), Pages 79-103
SCI
https://doi.org/10.3934/krm.2019004
2019
2018
34. Vertical sediment concentration distribution in high-concentrated flows: An analytical solution using Homotopy Analysis Method. Manotosh Kumbhakar, Jitraj Saha, Koeli Ghoshal, Jitendra Kumar, Vijay P. Singh. Communications in Theoretical Physics.
70 (3), Pages 367-378
SCI
10.1088/0253-6102/70/3/367
2018
2018
35. On the approximate solutions of fragmentation equations. Jitraj Saha, Jitendra Kumar, Stefan Heinrich. Proceedings of the Royal Society A.
474 (2209), Article 20170541
SCI
https://doi.org/10.1098/rspa.2017.0541
2018
2016
36. A volume-consistent discrete formulation of particle breakage equation. Jitraj Saha, Jitendra Kumar, Stefan Heinrich. Computers & Chemical Engineering
97, Pages 147-160
SCI
https://doi.org/10.1016/j.compchemeng.2016.11.013
2016
2016
37. Finite volume approximations of breakage population balance equation. Jitraj Saha, Jitendra Kumar, Andreas Bück, Evangelos Tsotsas. Chemical Engineering Research and Design.
110, Pages 114-122
SCI
https://doi.org/10.1016/j.cherd.2016.02.012
2016
2015
38. Development and convergence analysis of a finite volume scheme for solving breakage equation. Jitendra Kumar, Jitraj Saha, Evangelos Tsotsas. SIAM Journal on Numerical Analysis.
53 (4), Pages 1672-1689
SCI
https://doi.org/10.1137/140980247
2015
2015
39. The singular coagulation equation with multiple fragmentation. Jitraj Saha, Jitendra Kumar. Zeitschrift für angewandte Mathematik und Physik (ZAMP).
66 (3), Pages 919-941
SCI
https://doi.org/10.1007/s00033-014-0452-3
2015
2015
40. Adomian decomposition method for solving fragmentation and aggregation population balance equations. Randhir Singh, Jitraj Saha, Jitendra Kumar. Journal of Applied Mathematics and Computing.
48 (1-2), Pages 265-292
SCI
https://doi.org/10.1007/s12190-014-0802-5
2015
2015
41. Development of a mass conserving discretization technique for breakage problems and its convergence analysis. Jitraj Saha, Jitendra Kumar. International Journal on Advances in Engineering Sciences and Applied Mathematics.
7 (1-2), Pages 51-61
SCI/SCOPUS
https://doi.org/10.1007/s12572-015-0128-z
ERP
