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Research Article Open access CC BY 4.0

Solutions of Klein-Gordon Equation by the Laplace Decomposition Method and Modified Laplace Decomposition Method

R. M. Wayal

Asian Research Journal of Mathematics · pp. 11–19 · Published 25 Oct 2021

10.9734/arjom/2021/v17i930327

Abstract

In this article, the Laplace decomposition method and Modified Laplace decomposition method have been employed to obtain the exact and approximate solutions of the Klein-Gordon equation with the initial profile. An approximate solution obtained by these methods is in good agreement with the exact solution and shows that these approaches can solve linear and nonlinear problems very effectively and are capable to reduce the size of computational work.

Laplace decomposition method Modified Laplace decomposition method Klein-Gordon equation Adomian polynomials partial differential equations

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