A single sweep AGE algorithm based on off-step discretization for the solution of viscous Burgers' equation on a variable mesh
type: Item
instance of: scholarly article
title: A single sweep AGE algorithm based on off-step discretization for the solution of viscous Burgers' equation on a variable mesh
zbMATH Open document ID: 1319.65067
author: Jyoti Talwar
author: R. K. Mohanty
published in: Mathematics in Computer Science
publication date: 2015-03-25T00:00:00Z
review text: The main aim of the paper is to propose an efficient numerical algorithm for solving two-point boundary value problems for second-order nonlinear differential equations. In previous works of one of the authors, a third-order off-step discretization scheme on a variable mesh and the couple alternating group explicit (CAGE) method were proposed for solving singular nonlinear boundary value problems. In this paper, the authors develop a new single sweep alternating group explicit (AGE) iteration method, which is similar to the CAGE method, and apply it together with the off-step discretization on a variable mesh for solving the Burgers' equation. The algorithm is shown to be convergent and more efficient than the double sweep AGE method. Furthermore, it efficiently solves singular problems as well. Numerical experiments are given to illustrate the convergence and the efficiency of the algorithm.
reviewed by: Vu Hoang Linh
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 6419299
zbMATH Keywords: off-step discretization
zbMATH Keywords: variable mesh
zbMATH Keywords: Burgers' equation
zbMATH Keywords: two-point boundary value problems
zbMATH Keywords: second-order nonlinear differential equations
zbMATH Keywords: single sweep alternating group explicit iteration method
zbMATH Keywords: algorithm
zbMATH Keywords: numerical experiment
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s11786-014-0194-9
OpenAlex ID: W2084499365
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DOI: 10.1007/S11786-014-0194-9
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description: scientific article; zbMATH DE number 6419299