Artificial Boundary Method for Burgers' Equation Using Nonlinear Boundary Conditions

Artificial Boundary Method for Burgers' Equation Using Nonlinear Boundary Conditions

Year:    2006

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 3 : pp. 295–304

Abstract

This paper discusses the numerical solution of Burgers' equation on unbounded domains. Two artificial boundaries are introduced and boundary conditions are obtained on the artificial boundaries, which are in nonlinear forms. Then the original problem is reduced to an equivalent problem on a bounded domain. Finite difference method is applied to the reduced problem, and some numerical examples are given to show the effectiveness of the new approach.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JCM-8753

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 3 : pp. 295–304

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Burgers' equation Unbounded domain Artificial boundary condition.