ANALYTICAL SOLUTION OF THE LINEAR AND NONLINEAR KLEIN-GORDON EQUATIONS

  • M. A. Usman Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye
  • M. T. Shittu Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye
  • O. O. Solanke Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye

Abstract

In this study, three powerful methods, the VIM, NIM and ADM were applied to find the solution of the linear and nonlinear Klein-Gordon equations. To illustrate the ability and reliability of the methods some examples were provided. In this study, we compare numerical results with the exact solution. The results show that the Variational Iteration Method, Adomian Decomposition Method and New Iterative Method are powerful and effective tools in solving the Klein-Gordon equations and can be used to solve other linear and nonlinear equations, ordinary and partial equations.

Published
2020-01-19
How to Cite
Usman, M., Shittu, M., & Solanke, O. (2020). ANALYTICAL SOLUTION OF THE LINEAR AND NONLINEAR KLEIN-GORDON EQUATIONS. LAUTECH Journal of Engineering and Technology, 13(2), 30-38. Retrieved from https://laujet.com/index.php/laujet/article/view/346
Section
Articles