World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
4106
World Ranking
2695
National Ranking
29

Overview

R. C. Mittal is affiliated with the Indian Institute of Technology Roorkee in India, with a research focus primarily within the field of Mathematics. Their work centers significantly on numerical analysis, modeling, and simulation techniques applied to differential equations and nonlinear physical systems.

Their research explores several subfields, including:

  • Numerical Analysis
  • Modeling and Simulation
  • Statistical and Nonlinear Physics
  • Mechanics of Materials
  • Public Health, Environmental and Occupational Health

Mittal's key topics of study encompass:

  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Nonlinear Waves and Solitons
  • Numerical methods for differential equations
  • Numerical methods in engineering
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Nonlinear Differential Equations Analysis

Their recent publications illustrate application of computational modeling and numerical schemes to solve complex nonlinear differential equations and advection-diffusion problems. Selected papers include:

  • "Dark and bright soliton solutions and computational modeling of nonlinear regularized long wave model," 2021, published in Nonlinear Dynamics
  • "Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model," 2021, published in Wave Motion
  • "A numerical algorithm based on scale-3 Haar wavelets for fractional advection dispersion equation," 2020, published in Engineering Computations
  • "A cubic B-spline quasi-interpolation method for solving two-dimensional unsteady advection diffusion equations," 2020, published in International Journal of Numerical Methods for Heat & Fluid Flow
  • "A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation," 2020, published in Computational and Applied Mathematics

Frequent publication venues where Mittal's work appears include:

  • International Journal of Numerical Methods for Heat & Fluid Flow
  • Nonlinear Dynamics
  • Wave Motion
  • Engineering Computations
  • Computational and Applied Mathematics

Collaborations feature several co-authors with repeated partnerships, including:

  • Ram Jiwari
  • Sudhir Kumar
  • Rohit Goel
  • Neha Ahlawat
  • Rajni Rohila

Best Publications

  • Numerical solutions of nonlinear Burgers’ equation with modified cubic B-splines collocation method

    R.C. Mittal;R.K. Jain

  • Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method

    Ram Jiwari;Sapna Pandit;R.C. Mittal

  • Model order reduction using response-matching technique

    S. Mukherjee;Satakshi;R.C. Mittal

  • SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS BY ADOMIAN DECOMPOSITION METHOD

    R. C. Mittal;Ruchi Nigam

  • Numerical solution of the coupled viscous Burgers’ equation

    R.C. Mittal;Geeta Arora

  • A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions

    Ram Jiwari;Sapna Pandit;R.C. Mittal

  • Numerical solution of Burger's equation

    R. C. Mittal;Poonam Singhal

  • A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation

    Ram Jiwari;R. C. Mittal;Kapil K. Sharma

  • Quintic B-spline collocation method for numerical solution of the Kuramoto–Sivashinsky equation

    R.C. Mittal;Geeta Arora

  • A differential quadrature method for numerical solutions of Burgers'‐type equations

    R.C. Mittal;Ram Jiwari

  • Numerical solution of second order one dimensional hyperbolic telegraph equation by cubic B-spline collocation method

    R. C. Mittal;Rachna Bhatia

  • Numerical solutions of generalized Burgers–Fisher and generalized Burgers–Huxley equations using collocation of cubic B-splines

    R. C. Mittal;Amit Tripathi

  • Haar wavelet approximate solutions for the generalized Lane–Emden equations arising in astrophysics

    Harpreet Kaur;R.C. Mittal;Vinod Mishra

  • Numerical solutions of nonlinear Fisher's reaction–diffusion equation with modified cubic B-spline collocation method

    Ramesh Chand Mittal;Rakesh Kumar Jain

  • Efficient numerical solution of Fisher's equation by using B-spline method

    R. C. Mittal;Geeta Arora

  • Numerical solution of two-dimensional reaction–diffusion Brusselator system

    R.C. Mittal;Ram Jiwari

  • A numerical study of two dimensional hyperbolic telegraph equation by modified B-spline differential quadrature method

    R.C. Mittal;Rachna Bhatia

  • Differential Quadrature Method for Two-Dimensional Burgers' Equations

    R. C. Mittal;Ram Jiwari

  • Numerical solution of Burgers equation

    R. C. Mittal;Poonam Singhal

  • Redefined cubic B-splines collocation method for solving convection–diffusion equations

    R.C. Mittal;R.K. Jain

Frequent Co-Authors

Jan Awrejcewicz
Jan Awrejcewicz Lodz University of Technology

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