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

Hermann BRUNNER, Hongwei Li*, Xiaonan WU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)574-598
Number of pages25
JournalCommunications in Computational Physics
Volume14
Issue number3
DOIs
Publication statusPublished - Sep 2013

Scopus Subject Areas

  • Physics and Astronomy (miscellaneous)

User-Defined Keywords

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

Fingerprint

Dive into the research topics of 'Numerical solution of blow-up problems for nonlinearwave equations on unbounded domains'. Together they form a unique fingerprint.

Cite this