A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations
type: Item
instance of: scholarly article
title: A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations
zbMATH Open document ID: 1167.65444
published in: Applied Mathematics and Computation
publication date: 2009-07-01T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5573821
zbMATH Keywords: variable mesh
zbMATH Keywords: nonlinear parabolic equation
zbMATH Keywords: singular equation
zbMATH Keywords: heat equation
zbMATH Keywords: Burgers' equation
zbMATH Keywords: optimal relaxation parameter
zbMATH Keywords: numerical examples
zbMATH Keywords: comparison of methods
zbMATH Keywords: cubic spline alternating group explicit (C-SPLAGE) method
zbMATH Keywords: convergence
zbMATH Keywords: successive over relaxation method
zbMATH Keywords: stability
author: R. K. Mohanty
describes a project that uses: DAETS
MaRDI profile type: Publication
full work available at URL: j.amc.2009.03.001
OpenAlex ID: W108075268
cites work: Cubic spline solution of two-point boundary value problems with significant first derivatives
cites work: An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems
cites work: Variable mesh methods for the numerical solution of two-point singular perturbation problems
cites work: A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity
cites work: A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\)
cites work: A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids
cites work: Q3377351
cites work: An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations
cites work: A Cubic Spline Technique for the One Dimensional Heat Conduction Equation
cites work: Viscous flow solutions with a cubic spline approximation
cites work: Cubic spline technique for coupled non-linear parabolic equations
cites work: High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations†
cites work: Q3620043
cites work: An explicit almost \(P\)-stable two-step method with phase-lag of order infinity for the numerical integration of second-order periodic initial- value problems
cites work: Modified Runge-Kutta methods for the numerical solution of ODEs with oscillating solutions
cites work: Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation
cites work: A \(P\)-stable exponentially fitted method for the numerical integration of the Schrödinger equation
cites work: A high order predictor-corrector method for periodic IVPs
cites work: A new variable-step method for the numerical integration of special second-order initial value problems and their application to the one- dimensional Schrödinger equation
cites work: A Runge-Kutta Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution
cites work: Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems
cites work: Runge-Kutta interpolants with minimal phase-lag
cites work: Q4500704
cites work: Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k2 + h4) difference method
cites work: AnO(k2 +kh2 +h4) arithmetic average discretization for the solution of 1-D nonlinear parabolic equations
cites work: Q3540581
cites work: Q3540582
cites work: Q3540587
cites work: Group explicit iterative methods for solving large linear systems
cites work: Iterative methods for solving non-linear two point boundary value problems
cites work: Q3155853
DOI: 10.1016/J.AMC.2009.03.001
description: scientific article; zbMATH DE number 5573821