Journal of Multidisciplinary Science: MIKAILALSYS
Vol 3 No 2 (2025): Journal of Multidisciplinary Science: MIKAILALSYS

Application of the Kamal-He’s Iterative Method to Klein-Gordons Equations

Jeremiah, Adejoh (Unknown)
Adamu, M. Y. (Unknown)
Madaki, A. G. (Unknown)
O, Okai J. (Unknown)
Cornelius, Michael (Unknown)

Article Info

Publish Date
07 Apr 2025

Abstract

This study demonstrates the effectiveness and accuracy of the KHM for solving both linear and nonlinear Klein-Gordon equations. Through graphical comparisons with other methods such as VIM, TAM, and NIM, and error analysis, the results confirm the high precision and reliability of KHM. The approach is shown to be straightforward, easy to implement, and highly efficient for solving linear PDEs. Additionally, KHM provides the exact solution for nonlinear Klein-Gordon equations in a single iteration, highlighting its computational efficiency. Overall, the KHM is proven to be a powerful and reliable tool for solving a wide range of equations in mathematical physics.

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Journal Info
Journal of Multidisciplinary Science: MIKAILALSYS
Website

Abbrev

mikailalsys

Publisher

Lembaga Yasin Alsys

Subject

Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Environmental Science Physics Social Sciences Other

Description

Journal of Multidisciplinary Science : MIKAILALSYS [2987-3924 (Print) and 2987-2286 (Online)] is a double blind peer reviewed and open access journal to disseminating all information contributing to the understanding and development of Multidisciplinary Science. Its scope is international in that it ...