Jugal Mohapatra

Associate Professor

Mathematics

 (+91) 661 246 2711 , 3711

 jugal[at]nitrkl.ac.in

 Biosketch

22

Publications       

3

Sponsored Projects

0

Consultancy Projects

7

Doctoral Students

1

Continuing Education

8

PG Dissertation

 Personal Information

Prof. Jugal Mohapatra

Associate Professor

Mathematics

Joined in Jul 2011

 Room Number: MN-330

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

 Education Qualification

  1. Ph.D.
    Numerical Analysis
    IIT Guwahati

 Experience

Teaching Experience
  • Associate Professor, Mathematics,  NIT Rourkela,  Feb 2020 - Present
  • Assistant Professor, Mathematics,  NIT Rourkela,  Jul 2011 - Feb 2020
  • Lecturer, Mathematics,  Institute of Maths. & Applications, Bhubaneswar,  Jan 2010 - Jun 2011

 Expertise Information

Research Group
Applied Mathematics
Areas of Interest
Numerical Analysis , Numerical Solution of Singular Perturbation Problems , Fractional Integro/Differential Equations

 Projects

Asymptotic and numerical approach for boundary layer development of partial differential equations with delayed arguments

 SERB

 Principal Investigator

 36 months

 Completed

Sponsored

Parameter Uniform Numerical Schemes for Singularly perturbed parabolic convection diffusion problems

 CSIR

 Principal Investigator

 36 months

 Completed

Sponsored

Robust and efficient numerical methods for singularly perturbed differential equations using grid adaptivity

 SERB

 Principal Investigator

 36 months

 Completed

Sponsored

 Continuing Education

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

 Mathematics

 Coordinator

 07 Dec 2018 - 08 Dec 2018

Conference

 Publications

Google Scholar h-index

Google Scholar i10-index

3

Scopus h-index

Total Publications: 22
A. Panda, S. Santra, and J. Mohapatra, "Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations", Journal of Applied Mathematics and Computing, vol.68, pp.2065-2082, Springer, May 2022, 10.1007/s12190-021-01613-x Article
D. Shakti, J. Mohapatra, P. Das, and J. Vigo, "A Moving Mesh Refinement based Optimal Accurate Uniformly Convergent Computational Method for a Parabolic System of Boundary Layer Originated Reaction Diffusion Problems with Arbitrary Small Diffusion Terms.", Journal of Computational and Applied Mathematics, Elsevier 2022, 10.1016/j.cam.2020.113167 Article
S. R. Sahu and J. Mohapatra, "Numerical study of time delay singularly perturbed parabolic differential equations involving both small positive and negative space shifts", Journal of Applied Analysis, De Gruyter, October 2021, 10.1515/jaa-2021-2064 Article
S. Priyadarshana, J. Mohapatra, and L. G. Rao, "An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time", Journal of Applied Mathematics and Computing, Springer, September 2021, 10.1007/s12190-021-01633-7 Article
S. Santra and J. Mohapatra, "Numerical Analysis of Volterra Integro-differential Equations with Caputo Fractional Derivative", Iranian Journal of Science and Technology, Transactions A: Science, vol.45, pp.1815–1824, Springer, July 2021, 10.1007/s40995-021-01180-7 Article

Show All Publications(+)

P. Mushahary, S. R. Sahu, and J. Mohapatra, "Spline approximation method for singularly perturbed differential-difference equation on nonuniform grids", International Journal of Modeling, Simulation, and Scientific Computing, vol.12, no.1, pp.2150005, Inderscience, January 2021, 10.1142/S1793962321500057 Article
A. Panda, J. Mohapatra, and I. Amirali, "A Second-Order Post-processing Technique for Singularly Perturbed Volterra Integro-differential Equations", Mediterranean Journal of Mathematics, Springer 2021, 10.1007/s00009-021-01873-8 Article
S. R. Sahu and J. Mohapatra, "Numerical investigation for solutions and derivatives of singularly perturbed initial value problems", International Journal of Mathematical Modelling and Numerical Optimisation, Inderscience 2021, 10.1504/IJMMNO.2021.114480 Article
S. Santra and J. Mohapatra, "Analysis of the L1 scheme for a time fractional parabolic–elliptic problem involving weak singularity", Mathematical Methods in the Applied Sciences, Wiley, October 2020, 10.1002/mma.6850 Article
D. Shakti and J. Mohapatra, "Uniformly Convergent Second Order Numerical Method for a Class of Parameterized Singular Perturbation Problems", Differential Equations and Dynamical Systems, vol.28, no.4, pp.1033-1043, Springer, October 2020, 10.1007/s12591-017-0361-y Article
D. Shakti and J. Mohapatra, "Uniform convergence analysis of monotone hybrid scheme for convection-diffusion problems on layer adapted meshes", Mathematical Reports, vol.23, no.3, pp.325-357, Romanian Academy, March 2020, http://imar.ro/journals/Mathematical_Reports/php/2021/Mrc21_3.php Article
L. G. Rao and J. Mohapatra, "Numerical analysis and simulation of delay parabolic partial differential equation involving a small parameter", Engineering Computations, vol.37, no.1, Emerald, February 2020 Article
L. G. Rao, J. Mohapatra, and A. Das, "A fourth-order numerical scheme for singularly perturbed delay parabolic problem arising in population dynamics", Journal of Applied Mathematics and Computing, vol.63, pp.171-195, Springer 2020, https://link.springer.com/article/10.1007/s12190-019-01313-7 Article
D. Shakti and J. Mohapatra, "Parameter-Uniform Numerical Methods for a Class of Parameterized Singular Perturbation Problems", Numerical Analysis and Applications, vol.12, no.2, pp.176-190, Springer, January 2019, 10.1134/S1995423919020071 Article
S. R. Sahu and J. Mohapatra, "A second-order finite difference scheme for singularly perturbed initial value problem on layer-adapted meshes", International Journal of Modeling, Simulation, and Scientific Computing, vol.10, no.3, pp.23, World Scientific 2019, 10.1142/S1793962319500168 Article
L. G. Rao, S. R. Sahu, and J. Mohapatra, "Uniformly convergent numerical method for singularly perturbed time delay parabolic problem with two small parameters", Iranian Journal of Science and Technology, Transactions A: Science, Springer 2019 Article
D. Shakti and J. Mohapatra, "Numerical simulation and convergence analysis for a system of nonlinear singularly perturbed differential equations arising in population dynamics", Journal of Difference Equations and Applications, vol.24, no.7, pp.1185-1196, Taylor & Francis, May 2018, 10.1080/10236198.2018.1468891 Article
J. Mohapatra, "A computational method for solving singularly perturbed boundary value problem", National Academy Science Letters, vol.41, no.2, pp.117-120, Springer 2018, 10.1007/s40009-018-0622-5 Article
J. Mohapatra and M. K. Mahalik, "An initial value method for solving singularly perturbed boundary value problems using adaptive grids", Computational Mathematics and Modeling, vol.29, no.1, pp.48-58, Springer 2018, 10.1007/s10598-018-9387-4 Article
S. D and J. Mohapatra, "Layer-adapted meshes for parameterized singular perturbation problem", in Procedia Engineering, vol.127, pp.539-544, Elsevier, December 2015, 10.1016/j.proeng.2015.11.342 Inproceedings
A. M. K and J. Mohapatra, "A robust numerical method for singularly perturbed third order boundary value problem with layer behaviour", in International Conference On Computational Heat and Mass Transfer (ICCHMT) - 2015, pp.258-262, Elsevier, procedia engineering volume 127, Warangal, India 2015, 10.1016/j.proeng.2015.11.339 Inproceedings
J. Mohapatra and N. R. Reddy, "An efficient numerical method for singularly perturbed two point boundary value problems exhibiting boundary layers", National Academy Science Letters, vol.38, no.4, pp.355-359, Springer 2015, 10.1007/s40009-015-0350-z Article

 Courses Taught

  • MA1002 : Mathematics - II {Theory}
  • MA101 : Mathematics - I {Theory}
  • MA102 : Mathematics - II {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}
  • MA2305 : Numerical Analysis {Theory}
  • MA312 : Real Analysis {Theory}
  • MA405 : Partial Differential Equations {Theory}
  • MA4305 : Numerical Analysis - II {Theory}
  • MA432 : Numerical Analysis {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}
  • 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}

 Research Scholars

Ph.D. Students [7]
Uniformly Convergent Numerical Methods For Singularly Perturbed Initial And Boundary Value Problems

 Deepti Shakti

Enrolled: Jul 2014

 Graduated : Dec 2018

 Supervisor

Numerical Solution For Multi-Parameter Singularly Perturbed Initial And Boundary Value Problems

 Subal Ranjan Sahu

Enrolled: Jan 2016

 Graduated : Nov 2020

 Supervisor

Parameter Uniform Numerical Methods For Singularly Perturbed Parabolic Partial Differential Equations

 Lolugu Govinda Rao

Enrolled: Jan 2016

 Graduated : Sep 2020

 Supervisor

Differential Equations, Numerical Analysis

 Sudarshan Santra

Enrolled: Aug 2018

 Continuing

 Supervisor

Numerical Analysis, Differential Equations

 Abhilipsa Panda

Enrolled: Jul 2019

 Continuing

 Supervisor

Numerical Analysis, Differential Equations

 Sushree Priyadarshana

Enrolled: Jul 2019

 Continuing

 Co-Supervisor

Mathematical Modeling, Numerical Analysis

 Bappa Ghosh

Enrolled: Sep 2020

 Continuing

 Supervisor

 Dissertations

PG Dissertation
  • Akash Kumar (416MA2086), "A STUDY ON ASYMPTOTIC EXPANSION AND BOOSTER METHOD FOR SINGULAR PERTURBATION PROBLEMS." - M.Sc.    Supervisor     2017-18 Spring
  • Manish Kumar (417MA2090), "A Study on Singularly Perturbed Volterra Inergo-Differential Equations And Fractional Differential Equations" - M.Sc.    Supervisor     2018-19 Spring
  • Pungja Mushahary (417MA2094), "Numerical analysis of singularly perturbed differential-difference equations with small shifts of mixed type" - M.Sc.    Supervisor     2018-19 Spring
  • Shreeya Kumari (417MA2091), "A review of effective numerical methods for singularly perturbed differential equations exhibiting boundary layer" - M.Sc.    Supervisor     2018-19 Spring
  • Aman Kumar Kushwaha (418MA2091), "Some Numerical Experiments on Differential Equations Exhibiting Boundary Layers" - M.Sc.    Supervisor     2019-20 Spring
  • Rohit Kumar (418MA2089), "A Study on Asymptotic-- Numerical Methods for Singularly Perturbed Differential Equations" - M.Sc.    Supervisor     2019-20 Spring
  • Amar Pal Verma (419MA2103), "A review of shooting method and booster method for solving differential equations with small parameters" - M.Sc.    Supervisor     2020-21 Spring
  • Amrit Kumar (420MA2087), "A study on some semi-analytical methods for fractional differential equations" - M.Sc.    Supervisor     2021-22 Spring
UG Dissertation
  • Santosh Kumar Rana (411MA5113), "A study of two dimensional heat conduction in exchanger tubes of non-circular cross-section" - Integrated M.Sc.    Supervisor     2015-16 Spring
  • Jeeban Jeet Sahu (412MA5063), "A Boundary Value Approach for Singularly Perturbed Problem" - Integrated M.Sc.    Supervisor     2016-17 Spring
  • Manish Kumar (413MA5085), "A study on cubic spline and invariant lmbedding for solving singular two-point boundary value problems" - Integrated M.Sc.    Supervisor     2017-18 Spring
  • Gauree Kiran Wathodkar (413MA5068), "A boundary value approach for a system of linear singularly perturbed boundary value problems" - Integrated M.Sc.    Supervisor     2018 Summer
  • Nirmal Barick (416MA5030), "A study on different computational methods for solving singularly perturbed differential equations" - Integrated M.Sc.    Supervisor     2020-21 Spring
  • Shubhalaxmi Pradhan (417MA5053), "A study on some numerical methods for singularly perturbed Volterra integro-differential equations" - Integrated M.Sc.    Supervisor     2021-22 Spring

 Awards and Honours

No Awards/Honours Found....