A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation-Reference-Cited by-同舟云学术

A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation

Published:2023-04 Issue: Volume:118 Page:106986
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Rawani Mukesh Kumar,Verma Amit Kumar^ORCID,Cattani Carlo

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference70 articles.

1. A mathematical model illustrating the theory of turbulence;Burgers,1948

2. Some recent researches on the motion of fluids;Bateman;Mon Weather Rev,1915

3. A numerical method for a partial integro-differential equation;Sanz-Serna;SIAM J Numer Anal,1988

4. Bifurcation with memory;Olmstead;SIAM J Appl Math,1986

5. Three semi-implicit compact finite difference schemes for the nonlinear partial integro-differential equation arising from viscoelasticity;Zheng;Int J Model Simul,2021

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