jugal

Academic Identity

Orcid Id

0000-0001-5118-3933

Scopus Id

26026649800

Researcher Id

Google Scholar Id

Jugal Mohapatra

Associate Professor

Mathematics

(+91) 661 246 2711 , 3711

jugal[at]nitrkl.ac.in

Biosketch

22

Publications

3

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

2010 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

Continuing Education

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

Mathematics

Coordinator

07 Dec 2018 - 08 Dec 2018

Brochure

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

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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

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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....

Academic Identity

Orcid Id

Scopus Id

Researcher Id

Google Scholar Id

Jugal Mohapatra

22

Publications

3

Sponsored Projects

0

Consultancy Projects

7

Doctoral Students

1

Continuing Education

8

PG Dissertation

Personal Information

Prof. Jugal Mohapatra

Education Qualification

Experience

Teaching Experience

Expertise Information

Research Group

Areas of Interest

Projects

Continuing Education

Publications

Google Scholar h-index

Google Scholar i10-index

3

Scopus h-index

Total Publications: 22

Courses Taught

Research Scholars

Ph.D. Students [7]

Dissertations

PG Dissertation

UG Dissertation

Awards and Honours