A fully implicit finite-difference scheme for two-dimensional Burgers' equations

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Date

2003

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier Science Inc

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

The two-dimensional Burgers' equations are discretized in fully implicit finite-difference form. This scheme leads to a system of nonlinear difference equations to be solved at each time-step. Newton's method is used to solve this nonlinear system. The linear system is solved by a direct method at each iteration of Newton's method. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. The present method performs well. (C) 2002 Published by Elsevier Science Inc.

Description

Keywords

Burgers' equation, implicit finite-differences

Journal or Series

Applied Mathematics and Computation

WoS Q Value

Q3

Scopus Q Value

Q1

Volume

137

Issue

1

Citation