Mathematical analysis and numerical simulations for a nonlinear Klein Gordon equation in an exterior domain

Year 2024, Volume: 73 Issue: 3, 833 - 844, 27.09.2024

Gülnihal Meral

https://doi.org/10.31801/cfsuasmas.1434079

Abstract

In this study, the finite propogation speed properties investigated for a two dimensional exterior problem defined by nonlinear Klein-Gordon equation. Under some assumptions on the initial data and the nonlinearity, the solution is shown to have a finite propogation speed. Furthermore, it is demonstrated that the problem has a unique solution, and accurate numerical solutions have been produced by the use of the dual reciprocity boundary element approach with linear radial basis functions.

Keywords

Nonlinear Klein Gordon equation, exterior problem, finite propogation speed, dual reciprocity boundary element method

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