Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Numerical solution of blow-up problems for nonlinear wave equations on unbounded domains

Language

English

Abstract

The numerical solution of blow-up problems for nonlinear wave equations on unbounded spatial domains is considered. Applying the unified approach, which is based on the operator splitting method, we construct the efficient nonlinear local absorbing boundary conditions for the nonlinear wave equation, and reduce the nonlinear problem on the unbounded spatial domain to an initial-boundary- value problem on a bounded domain. Then the finite difference method is used to solve the reduced problem on the bounded computational domain. Finally, a broad range of numerical examples are given to demonstrate the effectiveness and accuracy of our method, and some interesting propagation and behaviors of the blow-up problems for nonlinear wave equations are observed. © 2013 Global-Science Press.

Keywords

Absorbing boundary conditions, Finite differencemethod, Finite-time blow-up, Nonlinear wave equation, Unbounded domains

Publication Date

2013

Source Publication Title

Communications In Computational Physics

Volume

14

Issue

3

Start Page

574

End Page

598

Publisher

Global Science Press

DOI

10.4208/cicp.160412.111012a

Link to Publisher's Edition

http://dx.doi.org/10.4208/cicp.160412.111012a

ISSN (print)

18152406

ISSN (electronic)

19917120

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