ADOMIAN POLYNOMIAL AND ELZAKI TRANSFORM
METHOD FOR SOLVING KLEIN GORDON EQUATIONS
Olufemi Elijah Ige1, Razaq Adekola Oderinu2, Tarig M. Elzaki3
1Department of Mathematics and Physics
Lappeenranta University of Technology
P.O. Box 20, 53851 Lappeenranta, FINLAND
2Department of Pure and Applied Mathematics
Ladoke Akintola University of Technology
P.M.B 4000, Oyo state, NIGERIA
3Mathematics Department
Faculty of Science and Arts - Alkamil
University of Jeddah, Jeddah, SAUDI ARABIA

Abstract

In this paper, the combination of Elzaki transform and Adomian polynomial is used to obtain the approximate analytical solutions of nonlinear Klein Gordon equations. The approximate analytical solutions of all these equations are calculated in series form. In total, four Klein-Gordon equations from mathematical physics were considered to show the performance and effectiveness of this method. A three dimensional graph of solutions of some problems considered were plotted to show the shape of the solutions obtained and compared with that given in the references and they were found to agree. By comparing this method with some other known methods, all the problems considered showed that the Elzaki transform method and Adomian polynomial are very powerful and effective integral transform methods in solving some nonlinear equations.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 3
Year: 2019

DOI: 10.12732/ijam.v32i3.7

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