Open AccessSolutions of Klein-Gordon Equation by the Laplace Decomposition Method and Modified Laplace Decomposition Method
Author(s) -
R. M. Wayal
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i930327
Subject(s) - laplace transform , decomposition , decomposition method (queueing theory) , mathematics , laplace's equation , mathematical analysis , nonlinear system , laplace transform applied to differential equations , laplace's method , green's function for the three variable laplace equation , inverse laplace transform , work (physics) , exact solutions in general relativity , partial differential equation , physics , chemistry , statistics , organic chemistry , quantum mechanics , thermodynamics
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.