Numerical studies of the fractional Korteweg-de Vries, Korteweg-de Vries-Burgers' and Burgers' equations
type: Item
instance of: scholarly article
title: Numerical studies of the fractional Korteweg-de Vries, Korteweg-de Vries-Burgers' and Burgers' equations
zbMATH Open document ID: 1490.65223
author: Khaled M. Saad
author: M. M. Khader
published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
publication date: 2021-11-25T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7433796
zbMATH Keywords: FKdVE
zbMATH Keywords: FKdVBE
zbMATH Keywords: FBE
zbMATH Keywords: FDM
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: spectral collocation method
MaRDI profile type: Publication
full work available at URL: s40010-020-00656-2
OpenAlex ID: W3004369833
cites work: The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
cites work: An algorithm for the numerical solution of differential equations of fractional order
cites work: Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
cites work: A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes
cites work: Numerical solution of two-dimensional reaction-diffusion Brusselator system
cites work: A hybrid numerical scheme for the numerical solution of the Burgers' equation
cites work: A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation
cites work: A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation
cites work: Finite element analysis and approximation of Burgers’‐Fisher equation
cites work: An efficient computational approach for linear and nonlinear fractional differential equations
cites work: On the local fractional wave equation in fractal strings
cites work: An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation
cites work: On the analysis of fractional diabetes model with exponential law
cites work: A numerical approach for solving the fractional Fisher equation using Chebyshev spectral collocation method
cites work: A numerical study by using the Chebyshev collocation method for a problem of biological invasion: Fractional Fisher equation
cites work: A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Travelling wave solutions and proper solutions to the two-dimensional Burgers–Korteweg–de Vries equation
cites work: Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
cites work: A non-linear equation incorporating damping and dispersion
cites work: On travelling wave solutions of the Burgers–Korteweg–de Vries equation
cites work: Q4151274
cites work: A second-order accurate numerical method for the two-dimensional fractional diffusion equation
cites work: Q5561492
cites work: On the numerical solutions for the fractional diffusion equation
cites work: Numerical treatment for solving fractional SIRC model and influenza A
cites work: New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations
cites work: Analytical study for time and time-space fractional Burgers' equation
DOI: 10.1007/S40010-020-00656-2
description: scientific article; zbMATH DE number 7433796