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Academic Experts
Academic Experts
Dr. Mohammad Prawesh Alam
ASSISTANT PROFESSOR(GRADE I)
prawesh.alam@mail.jiit.ac.in
Biography

Dr. Mohammad Prawesh Alam completed his M.Sc. and Ph.D. in Mathematics from Jamia Millia Islamia (Central University), New Delhi. He qualified for the prestigious CSIR-JRF examination, and subsequently joined DRDO, Delhi as a Junior Research Fellow.

Over the course of his academic and professional career, Dr. Alam has been associated with Delhi University, Indira Gandhi Delhi Technical University for Women (IGDTUW), and NIT Kurukshetra, where he has contributed to both teaching and research. His primary research expertise lies in applied mathematics, particularly in the areas of Numerical Analysis, Singularly Perturbation Problem, Fractional Differential Equation.

Research Highlights

My research focused on applied numerical analysis for boundary value problems. In particular, I developed high order numerical methods with convergence analysis for singularly perturbed problems. Specifically, I employed modified B-spline basis function on uniform as well as non-uniform mesh. Additionally, I developed high order numerical method for time fractional diffusion equation using B-spline basis function. Presently, I am working on developing an efficient numerical method using AI and machine learning for equations arising in financial mathematics.

Areas Of Interest
  • Numerical Analysis
  • Singularly Perturbation Problem
  • Fractional Differential Equation
Publications
  1. MP Alam, T Begum, and A Khan. "A new spline algorithm for solving nonisothermal reaction diffusion model equations in a spherical catalyst and spherical biocatalyst." Chemical Physics Letters 754 (2020): 137651. (SCI with IF 2.87, Q-2)
  2. MP Alam, D Kumar, and A Khan. "Trigonometric quintic B-spline collocation method for singularly perturbed turning point boundary value problems." International Journal of Computer Mathematics 98.5 (2021): 1029-1048. (SCIE with IF 1.99, Q-2)
  3. MP, Alam, T Begum, and A Khan. "A high-order numerical algorithm for solving Lane–Emden equations with various types of boundary conditions." Computational and Applied Mathematics 40 (2021): 1-28. (SCIE with IF 2.88, Q-2)
  4. MP Alam, A Khan, and D Baleanu. "A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models." International Journal of Computer Mathematics 100.1 (2023): 105-132. (SCIE with IF 1.99, Q-2)
  5. MP Alam, and A. Khan. "A new numerical algorithm for time-dependent singularly perturbed differential-difference convection–diffusion equation arising in computational neuroscience." Computational and Applied Mathematics 41.8 (2022) 402. (SCIE with IF 2.88, Q-2)