SOLVING LINEAR AND NONLINEAR KLEIN-GORDON EQUATIONS USING FOUR EFFECTIVE METHODS

Authors

  • Mustapha Adewale; Usman Department of Mathematical Sciences, Olabisi Onabanjo University, Ago –Iwoye, Nigeria
  • Mary Toyin Shittu Olabisi Onabanjo University
  • Fatai Akangbe Hammed Olabisi Onabanjo University
  • Olukunle Olakunle Solanke Olabisi Onabanjo University
  • Oduyomi Michael Badejo Olabisi Onabanjo University

Abstract

In this study, Variational Iteration Method (VIM) developed by Ji-Huan He, Adomian Decomposition
Method (ADM) by Adomian, New Iterative Method (NIM) developed by Daftardar Gejji and Jafari
and the Modified Adomian Decomposition Method (MADM) by Wazwaz have were employed to
solve linear and nonlinear Klein-Gordon equations. The objectives of these studies were mostly
focused on the determination of numerical solutions where a considerable volume of calculations is
usually needed. The method provides the solution in the form of rapidly convergent series. Some
numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.
This study compared numerical results with the exact solution. The results show that the Variational
Iteration Method, Adomian Decomposition Method, New Iterative Method and Modified Adomian
Decomposition Method are powerful tools in solving the Klein-Gordon equations and they can be
used to solve other linear and nonlinear equations.

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Published

2022-09-14

Issue

Vol. 11 (2020): SPECIAL EDITION 1

Section

Articles