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

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Page Numbers: 508-531
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Published: Apr 7, 2025
Digital Object Identifier: 10.58578/mikailalsys.v3i2.5320
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Authors:
Adejoh Jeremiah1*, M. Y. Adamu2, A. G. Madaki3, Okai J. O4, Michael Cornelius5
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Adejoh Jeremiah
Abubakar Tafawa Balewa University, Bauchi, Nigeria
M. Y. Adamu
Abubakar Tafawa Balewa University, Bauchi, Nigeria
A. G. Madaki
Abubakar Tafawa Balewa University, Bauchi, Nigeria
Okai J. O
Abubakar Tafawa Balewa University, Bauchi, Nigeria
Michael Cornelius
Gombe State University, Gombe, Nigeria

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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How to Cite
Jeremiah, A., Adamu, M. Y., Madaki, A. G., O, O. J., & Cornelius, M. (2025). Application of the Kamal-He’s Iterative Method to Klein-Gordons Equations. Journal of Multidisciplinary Science: MIKAILALSYS, 3(2), 508-531. https://doi.org/10.58578/mikailalsys.v3i2.5320
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