New transform iterative method for solving some Klein-Gordon equations

In this study, we treat some Klein-Gordon equations (KGEs). We propose a novel iterative approach called the Elzaki iterative method (EIM). This method, which clearly depends on the choice of the initial values, is based on the new iteration method (NIM) and the Elzaki transformation. We show that t...

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Bibliographic Details
Published inResults in physics Vol. 10; pp. 655 - 659
Main Authors Alderremy, Aisha Abdullah, Elzaki, Tarig M., Chamekh, Mourad
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2018
Elsevier
Subjects
Elzaki transform
Klein-Gordon equations
Novel iterative method
Novel iterative method
Klein-Gordon equations
Elzaki transform
34A25
34A34
34A45
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ISSN2211-3797
2211-3797
DOI10.1016/j.rinp.2018.07.004

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Summary:In this study, we treat some Klein-Gordon equations (KGEs). We propose a novel iterative approach called the Elzaki iterative method (EIM). This method, which clearly depends on the choice of the initial values, is based on the new iteration method (NIM) and the Elzaki transformation. We show that the EIM could be more valid and reliable approach than the NIM. We propose an analytical approximation of a solution for KGEs for which only a few iterations are necessary to obtain a semi-analytical solution without a loss of precision.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2018.07.004