Back close
Admissions

Dr. Vikas Rohil

Assistant Professor, Department of Mathematics, School of Engineering, Amaravati

Qualification: BSc, MSc, Ph.D
r_vikas@av.amrita.edu
Orcid Profile
Google Scholar Profile
Scopus Author ID
Research Interest: Fractional Calculus; Time-Fractional Partial Differential Equations; Numerical Methods for PDEs; Fractional Neutron Diffusion; Nuclear Reactor Dynamics; Computational Mathematics.

Bio Publications Qualification FDP / Workshops Research Talks Delivered Awards Conferences Attended
Bio

Dr. Vikas Rohil is an Assistant Professor at Department of Mathematics, Amrita Vishwa Vidyapeetham, Amaravati Campus. He completed his Ph.D. in Applied Mathematics from Visvesvaraya National Institute of Technology (VNIT), Nagpur, with research focused on numerical methods for time-fractional partial differential equations with applications in nuclear reactor dynamics. He has published research articles in SCI/SCIE-indexed journals and has teaching and research experience in mathematics, numerical methods, probability, data science and computational mathematics. His current research interests include fractional differential equations, numerical analysis, nuclear reactor dynamics and computational methods.

Publications

Journal Article

Year : 2024

An accurate numerical method and its analysis for time-fractional Fisher’s equation

Cite this Research Publication : Pradip Roul, Vikas Rohil, An accurate numerical method and its analysis for time-fractional Fisher’s equation, Soft Computing, Springer Science and Business Media LLC, 2024, https://doi.org/10.1007/s00500-024-09885-8

Publisher : Springer Science and Business Media LLC

Year : 2024

Numerical approximation of a fractional neutron diffusion equation for neutron flux profile in a nuclear reactor

Cite this Research Publication : Pradip Roul, Vikas Rohil, Gilberto Espinosa-Paredes, K. Obaidurrahman, Numerical approximation of a fractional neutron diffusion equation for neutron flux profile in a nuclear reactor, Progress in Nuclear Energy, Elsevier BV, 2024, https://doi.org/10.1016/j.pnucene.2024.105144

Publisher : Elsevier BV

Year : 2023

A high-accuracy computational technique based on $$L2-1_{\sigma }$$ and B-spline schemes for solving the nonlinear time-fractional Burgers’ equation

Cite this Research Publication : Pradip Roul, Vikas Rohil, A high-accuracy computational technique based on $$L2-1_{\sigma }$$ and B-spline schemes for solving the nonlinear time-fractional Burgers’ equation, Soft Computing, Springer Science and Business Media LLC, 2023, https://doi.org/10.1007/s00500-023-09413-0

Publisher : Springer Science and Business Media LLC

Year : 2022

A high-order numerical scheme based on graded mesh and its analysis for the two-dimensional time-fractional convection-diffusion equation

Cite this Research Publication : Pradip Roul, Vikas Rohil, A high-order numerical scheme based on graded mesh and its analysis for the two-dimensional time-fractional convection-diffusion equation, Computers & Mathematics with Applications, Elsevier BV, 2022, https://doi.org/10.1016/j.camwa.2022.09.006

Publisher : Elsevier BV

Year : 2022

A novel high-order numerical scheme and its analysis for the two-dimensional time-fractional reaction-subdiffusion equation

Cite this Research Publication : Pradip Roul, Vikas Rohil, A novel high-order numerical scheme and its analysis for the two-dimensional time-fractional reaction-subdiffusion equation, Numerical Algorithms, Springer Science and Business Media LLC, 2022, https://doi.org/10.1007/s11075-021-01233-3

Publisher : Springer Science and Business Media LLC

Year : 2020

Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons

Cite this Research Publication : Pradip Roul, Vikas Rohil, Gilberto Espinosa-Paredes, V.M.K. Prasad Goura, R.S. Gedam, K. Obaidurrahman, Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons, Applied Numerical Mathematics, Elsevier BV, 2020, https://doi.org/10.1016/j.apnum.2020.07.007

Publisher : North-Holland

Research Article

Year : 2021

An efficient numerical method for fractional neutron diffusion equation in the presence of different types of reactivities

Cite this Research Publication : Pradip Roul, Vikas Rohil, Gilberto Espinosa-Paredes, K. Obaidurrahman, An efficient numerical method for fractional neutron diffusion equation in the presence of different types of reactivities, Annals of Nuclear Energy, Elsevier BV, 2021, https://doi.org/10.1016/j.anucene.2020.108038

Publisher : Elsevier BV

Qualification
  • Ph.D. in Applied Mathematics, VNIT Nagpur (2019–2023)
  • M.Sc. in Applied Mathematics, South Asian University, New Delhi (2017–2019)
  • B.Sc. (Hons.) Mathematics, University of Delhi (2014–2017)
FDP / Workshops
  • Attended National Workshop on Topology and Functional Analysis organized by The LNM Institute of Information Technology, Jaipur, India during March 11-15, 2019
  • Participated in the International Webinar on “Numerical and Scientific Computing” organized by Manipal University, Jaipur on July 28, 2020
  • Participated in the International Workshop on “Fractional Derivatives: Theory & Computations with Applications (FDTCA 2021)” held at Indian Institute of Technology (BHU), Varanasi during November 12-14, 2021
  • Participated in the Regional Workshop on Research and Opportunities held by IWM at VNIT, Nagpur during December 9-10, 2022
  • Participated in A Three Day Online Faculty Development Program on “Real Analysis” organized by VIT, Chennai during April 15-17, 2023.
  • Participated in IST: Numerical Methods in Linear Algebra at IIT Gandhinagar from May 12, 2025 to May 24, 2025
Research Talks Delivered
  • Presented research work at ADENA2020, IIT Guwahati (2020): “Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons.”
  • Presented research work at NCCM 2022, NIT Puducherry (2022): “A new high-order numerical method and its analysis for the two-dimensional time-fractional reaction-subdiffusion equation.”
Awards
  • JEE Mains 2014 – Qualified.
  • JAM 2017 – Qualified.
  • Rank 7 in SAU M.Sc. entrance examination (2017) with merit scholarship.
  • GATE 2019 – All India Rank 286.
Conferences Attended
  • ADENA2020, IIT Guwahati (2020) – research presentation
  • NCCM 2022, NIT Puducherry (2022) – research presentation.
Admissions Apply Now