A singular perturbation approach to solve Burgers-Huxley equation via monotone finite difference scheme on layer-adaptive mesh
type: Item
instance of: scholarly article
title: A singular perturbation approach to solve Burgers-Huxley equation via monotone finite difference scheme on layer-adaptive mesh
zbMATH Open document ID: 1221.65221
author: Vikas Gupta
author: M. K. Kadalbajoo
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-09-23T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M50
zbMATH DE Number: 5950256
zbMATH Keywords: singular perturbation
zbMATH Keywords: Burgers-Huxley equation
zbMATH Keywords: implicit Euler method
zbMATH Keywords: quasilinearization
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: monotone finite difference operator
zbMATH Keywords: stability and convergence analysis
MaRDI profile type: Publication
full work available at URL: j.cnsns.2010.07.020
OpenAlex ID: W2086677263
cites work: Multidimensional nonlinear diffusion arising in population genetics
cites work: Q5610080
cites work: Numerical simulation of the generalized Huxley equation by He's variational iteration method
cites work: Application of variational iteration method to the generalized Burgers-Huxley equation
cites work: Q5514046
cites work: Q3848301
cites work: Spectral collocation method and Darvishi's preconditionings to solve the generalized Burgers-Huxley equation
cites work: Bursting oscillations near codimension-two bifurcations in the Chay neuron model
cites work: Non-classical symmetries and the singular manifold method: the Burgers and the Burgers-Huxley equations
cites work: On the non-existence of 𝜀-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems
cites work: Q4485828
cites work: Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
cites work: Solving the generalized Burgers-Huxley equation using the Adomian decomposition method
cites work: A note on the Adomian decomposition method for the generalized Huxley equation
cites work: Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
cites work: A numerical solution of the generalized Burgers-Huxley equation by spectral collocation method
cites work: A new domain decomposition algorithm for generalized Burgers-Huxley equation based on Chebyshev polynomials and preconditioning
cites work: A uniformly convergent numerical method on non-uniform mesh for singularly perturbed unsteady Burgers-Huxley equation
cites work: A computational meshless method for the generalized Burger's-Huxley equation
cites work: Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
cites work: The homotopy analysis method to solve the Burgers-Huxley equation
cites work: Q4379541
cites work: Q4871736
cites work: Q4039701
cites work: Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
cites work: A difference approximation of a singularly perturbed boundary-value problem for quasilinear elliptic equations degenerating into first-order equations
cites work: Solitary wave solutions of the generalised Burgers-Huxley equation
cites work: Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations
DOI: 10.1016/J.CNSNS.2010.07.020
description: scientific article; zbMATH DE number 5950256