Abstract
In this study, Adomian Decomposition Method (ADM), Modified Decomposition Method (MD) and Laplace Decomposition Method (LDM) were used in solving nonlinear Klein-Gordon equation. It can be easily concluded that these three methods yielded exactly the same results. Key words: Adomian Decomposition Method, Modified Decomposition Method, Laplace Decomposition Method, Klein-Gordon equation and Noise terms phenomena.
Highlights
Full Length Research PaperMathematics Department, Faculty of Education-Afif, Shaqra University, Saudi Arabia Mathematics Department, Faculty of Science, Sudan University of Science and Technology, Sudan
A wide variety of physically significant problems such as nonlinear Klein-Gordon equation, modeled by linear and nonlinear partial differential equations has been the focus of extensive studies for the last decades
The aim of this paper is in two folds: firstly, to solve the nonlinear Klein-Gordon equation via Laplace Decomposition Method (LDM), Adomian decomposition method (ADM) and MD
Summary
Mathematics Department, Faculty of Education-Afif, Shaqra University, Saudi Arabia Mathematics Department, Faculty of Science, Sudan University of Science and Technology, Sudan. Adomian Decomposition Method (ADM), Modified Decomposition Method (MD) and Laplace Decomposition Method (LDM) were used in solving nonlinear Klein-Gordon equation. It can be concluded that these three methods yielded exactly the same results
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