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Ā Dr. Sudarshan Santra | Numerica l Analysis | Best Researcher Award

šŸ‘Øā€šŸ«Profile Summary

Highly skilled mathematician with expertise in numerical methods, analysis, and scientific computing, specializing in fractional-order ODEs, PDEs, and integro-PDEs. Currently, a Post-Doctoral Fellow at the Indian Institute of Science (IISc), Bangalore, engaged in cutting-edge research. Previous roles include Project Associate at IISc Bangalore, Teaching Assistant at NIT Rourkela, and Assistant Professor at FIT Kolkata. Completed a Ph.D. in Mathematics from NIT Rourkela, focusing on numerical solutions for fractional differential equations. Holds an M.Sc. from IIT Guwahati and a B.Sc. from the University of Calcutta. Committed to advancing mathematical understanding and solving real-world problems through rigorous research.

šŸŒ Professional Profiles

 

 

šŸ”¬Research Interest

Broad Area of Research:

  • Numerical Methods, Analysis & Scientific Computing, Wavelets.
  • Fractional-Order ODEs, PDEs, and Integro-PDEs.

šŸ“ŠWork Experience

Post-Doctoral Fellow Indian Institute of Science (IISc), Bangalore September 2023 ā€“ Present Working as a Post-Doctoral Research Fellow in the Department of Computational and Data Sciences at IISc Bangalore, under Prof. Ratikanta Behera in assistance with the Post-Doctoral Fellowship, Axis Bank Centre for Mathematics and Computing, IISc Bangalore. Project Associate Indian Institute of Science (IISc), Bangalore October 2022 ā€“ August 2023 Served as a Project Associate in the Department of Computational and Data Sciences at IISc Bangalore under Prof. Ratikanta Behera. Teaching Assistant National Institute of Technology Rourkela (NIT-R) July 2019 ā€“ December 2019 Worked as a teaching assistant in the Department of Mathematics at NIT-R. Topics covered included Differential Equations. Assistant Professor Future Institute of Technology (FIT), Kolkata
July 2015 ā€“ July 2018 Lectured mathematics in the Department of Basic Science & Humanities at FIT, Kolkata, affiliated to Maulana Abul Kalam Azad University of Technology (MAKAUT), West Bengal. Topics covered: Real analysis, Linear Algebra, Differential Equation, Numerical Analysis.

šŸŽ“Education

Ph.D. (2018-2023) Doctor of Philosophy (Ph.D.) in Mathematics, Department of Mathematics, National Institute of Technology Rourkela.
Title of the thesis: ā€œNumerical solutions and their convergence analysis for fractional differential and integrodifferential equations involving weak singularitiesā€. Supervisor: Prof. Jugal Mohapatra. M.Sc. (2013-2015) M.Sc. in Mathematics and Computing, Department of Mathematics, Indian Institute of Technology Guwahati. B.Sc. (2009-2012) B.Sc. in Mathematics (Honours), Department of Mathematics, Raja Peary Mohan College, University of Calcutta. 12th (2007-2009) Higher Secondary Education, Science, Singur Mahamaya High School, WBCHSE. 10th (2005-2007)
Secondary Education, Paltagarh Radharani Sikshamandir, WBBSE.

šŸ“šTop Noted Publication

Title: A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type
Authors: S Santra, J Mohapatra
Journal: Journal of Computational and Applied Mathematics
Year: 2021
Citations: 32

 

Title: Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
Authors: A Panda, S Santra, J Mohapatra
Journal: Journal of Applied Mathematics and Computing
Year: 2021
Citations: 30

 

Title: Analysis of the L1 scheme for a time fractional parabolicā€“elliptic problem involving weak singularity
Authors: S Santra, J Mohapatra
Journal: Mathematical Methods in the Applied Sciences
Year: 2020
Citations: 21

 

Title: A novel approach for solving multi-term time fractional Volterra-Fredholm partial integro-differential equations
Authors: S Santra, A Panda, J Mohapatra
Journal: Journal of Applied Mathematics and Computing
Year: 2021
Citations: 12

 

Title: Numerical Analysis of Volterra Integro-differential Equations with Caputo Fractional Derivative
Authors: S Santra, J Mohapatra
Journal: Iranian Journal of Science and Technology. Transaction A, Science
Year: 2021
Citations: 12

 

Title: Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis
Authors: S Santra, J Mohapatra, P Das, D Choudhuri
Journal: Computers & Mathematics with Applications
Year: 2023
Volume: 150
Pages: 87-101
Citations: 11

 

Title: Analysis of a finite difference method based on L1 discretization for solving multi-term fractional differential equation involving weak singularity
Authors: S Santra, J Mohapatra
Journal: Mathematical Methods in the Applied Sciences
Year: 2022
Citations: 7

 

Title: Numerical treatment of multi-term time fractional nonlinear KdV equations with weakly singular solutions
Authors: S Santra, J Mohapatra
Journal: International Journal of Modelling and Simulation
Year: 2022
Citations: 7

 

Title: Analytical and Numerical Solution for the Time Fractional Black-Scholes Model Under Jump-Diffusion
Authors: J Mohapatra, S Santra, H Ramos
Journal: Computational Economics
Year: 2023
Citations: 2

 

Title: An efficient computational approach for the solution of time-space fractional diffusion equation
Authors: S Santra, J Mohapatra
Journal: International Journal of Modelling and Simulation
Year: 2022
Citations: 1

 

 

 

Sudarshan Santra | Numerical Analysis | Best Researcher Award

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