National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Faculty Profile

EXPERTISE INFORMATION

Research Group
  • Applied Mathematics
Areas of Interest
  • Numerical Analysis

Jugal Mohapatra
ଯୁଗଳ ମହାପାତ୍ର Professor & HOD (Mathematics)

Mathematics

jugal@nitrkl.ac.in

0661 - 246 2711

92

PUBLICATIONS

4

SPONSORED PROJECTS

14

DOCTORAL STUDENTS

2

CONTINUING EDUCATION

PERSONAL INFORMATION

Jugal Mohapatra

Professor

Mathematics

Room Number: MN-320

Department of Mathematics, National Institute of Technology Rourkela, Sundargarh, Odisha, India - 769008

2010

Ph.D.
Mathematics
IIT Guwahati

Teaching Experience
  • Mathematics,  NIT Rourkela,   01 Jul 2011 - Present

Skill Gap Study in Fortified Rice Kernel Manufacturing Sector Food Industry Capacity & Skill Initiative (FICSI)
  • Co-Investigator
  • 6
  • Completed   Sponsored
Asymptotic and numerical approach for boundary layer development of partial differential equations with delayed arguments SERB
  • Principal Investigator
  • 36
  • Completed   Sponsored
Parameter Uniform Numerical Schemes for Singularly perturbed parabolic convection diffusion problems CSIR
  • Principal Investigator
  • 36
  • Completed   Sponsored
Robust and efficient numerical methods for singularly perturbed differential equations using grid adaptivity SERB
  • Principal Investigator
  • 36
  • Completed   Sponsored

Total Publications: 92

S. Priyadarshana, J. Mohapatra, and S. R. Pattanaik,"A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems", Applied Numerical Mathematics, vol.189, pp.107-129, Science Direct 2023, 10.1016/j.apnum.2023.04.002       Article

A. Panda and J. Mohapatra,"A robust finite difference method for the solutions of singularly perturbed fredholm integro-differential equations", Mediterranean Journal of Mathematics, vol.20, no.198, Springer, April 2023, 10.1007/s00009-023-02402-5       Article

S. Priyadarshana, J. Mohapatra, and S. R. Pattanaik,"An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag", Mathematics and Computers in Simulation, vol.214, pp.183-203, Elsevier, July 2023, 10.1016/j.matcom.2023.07.009       Article

S. Santra, J. Mohapatra, P. Das, and D. Choudhuri,"Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis", Computers & Mathematics with Applications, Elsevier, September 2023, 10.1016/j.camwa.2023.09.008       Article

S. Priyadarshana and J. Mohapatra,"An efficient fractional step numerical algorithm for time-delayed singularly perturbed 2D convection-diffusion–reaction problem with two small parameters", Numerical Algorithms, Springer 2024, 10.1007/s11075-023-01720-9,       Article

National Conference on Recent Advances in Mathematics and its Applications 2024 (NC RAMA 2024) Mathematics (Conference)
“National Conference on Recent Advances in Mathematics and its Applications (NCRAMA 2018)" Mathematics (Conference)

  • MA1001 : Mathematics - I {Theory}
  • MA1002 : Mathematics - II {Theory}
  • MA1004 : Mathematics - II {Theory}
  • MA101 : Mathematics - I {Theory}
  • MA102 : Mathematics - II {Theory}
  • MA2005 : Numerical Methods {Theory}
  • MA201 : Mathematics - III {Theory}
  • MA201 : Mathematics – III {Theory}
  • MA202 : Mathematics - IV {Theory}
  • MA202 : Mathematics – IV {Theory}
  • MA205 : Introduction to Numerical Analysis {Theory}
  • MA207 : Introduction to Numerical Analysis {Theory}
  • MA208 : Analysis – I {Theory}
  • MA2104 : Complex Analysis {Theory}
  • MA2305 : Numerical Analysis {Theory}
  • MA312 : Real Analysis {Theory}
  • MA405 : Partial Differential Equations {Theory}
  • MA4305 : Numerical Analysis - II {Theory}
  • MA432 : Numerical Analysis {Theory}
  • MA5301 : Differential Equations {Theory}
  • MA5303 : Partial Differential Equations {Theory}
  • MA533 : Finite Difference Methods {Theory}
  • MA5333 : Finite Difference Methods {Theory}
  • MA6305 : Advanced Numerical Analysis {Theory}
  • MA632 : Advanced Numerical Analysis {Theory}
  • MA633 : Numerical solutions of ODE and PDE {Theory}
  • MA6402 : Numerical Linear Algebra {Theory}
  • MA270 : Numerical Methods Laboratory {Practical}
  • MA373 : Numerics of Ordinary differential equations {Practical}
  • MA374 : Statistics Laboratory {Practical}
  • MA4373 : Numerical Methods Laboratory {Practical}
  • MA470 : Laboratory works on Real Life Problems – I {Practical}
  • MA475 : Numerics of Differential Equation Laboratory {Practical}

Ph.D. Students [14]
Robust Numerical Techniques Based on Layer-resolving Meshes for Time-delayed Singularly Perturbed Parabolic Problems
Sushree Priyadarshana
Enrolled: Jul 2019
Graduated :  Jan 2024
Supervisor
Efficient Computational Approaches and Their Convergence Analysis for Integro-differential Equations with Small Parameters and Fractional Derivatives
Abhilipsa Panda
Enrolled: Jul 2019
Graduated :  Apr 2024
Supervisor
Numerical Solutions and their Convergence Analysis for Fractional Differential and Integro-differential Equations Involving Weak Singularities
Sudarshan Santra
Enrolled: Aug 2018
Graduated :  Mar 2023
Supervisor
Parameter Uniform Numerical Methods for Singularly Perturbed Parabolic Partial Differential Equations
Lolugu Govinda Rao
Enrolled: Jan 2016
Graduated :  Sep 2020
Supervisor
Numerical Solution for Multi-parameter Singularly Perturbed Initial and Boundary Value Problems
Subal Ranjan Sahu
Enrolled: Jan 2016
Graduated :  Nov 2020
Supervisor
Uniformly Convergent Numerical Methods for Singularly Perturbed Initial and Boundary Value Problems
Deepti Shakti
Enrolled: Jul 2014
Graduated :  Dec 2018
Supervisor
Numerical analysis of time-fractional parabolic differential and integro-differential equations
Bappa Ghosh
Enrolled: Sep 2020
Thesis Submitted
Supervisor
Differential equations, Numerical Analysis
Ajaya Padhan
Enrolled: Jul 2023
Continuing
Supervisor
Applied Functional analysis, elliptic PDEs
Suman Kalyan Chowdhury
Enrolled: Jul 2023
Continuing
Supervisor
Numerical Analysis, Differential Equations
Shubham Yadav
Enrolled: Jul 2023
Continuing
Supervisor
Functional analysis, PDEs
Subhashree Sahu
Enrolled: Jan 2023
Continuing
Supervisor
Differential Equations, Numerical Analysis
Gunjan Dewangan
Enrolled: Jan 2023
Continuing
Co-Supervisor
ORDINARY DIFFERENTIAL EQUATION & PARTIAL DIFFERENTIAL EQUATION
Akanksha Singh
Enrolled: Aug 2021
Continuing
Co-Supervisor
Partial differential equation/Numerical Analysis
Abhilash Chand
Enrolled: Aug 2020
Continuing
Supervisor