Numerical Analysis of the Klein-Gordon Equations by Using the New Iteration Transform Method | Zendy

Ahmad Haji Zadeh | Zendy; J. Kavikumar | Zendy; Nehad Ali Shah | Zendy; Jae Dong Chung | Zendy

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Numerical Analysis of the Klein-Gordon Equations by Using the New Iteration Transform Method

Author(s) -

Ahmad Haji Zadeh,

J. Kavikumar,

Nehad Ali Shah,

Jae Dong Chung

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/1559934

Subject(s) - laplace transform , klein–gordon equation , mathematics , order (exchange) , fractional calculus , mathematical analysis , nonlinear system , physics , finance , quantum mechanics , economics

This paper presents an analysis based on a mixture of the Laplace transform and the new iteration method to obtain new approximate results of the fractional-order Klein-Gordon equations in the Caputo-Fabrizio sense. So, a general system to investigate the approximate results of the fractional-order Klein-Gordon equations is obtained. This technique’s effectiveness is demonstrated by comparing the actual results of the fractional-order equations suggested with the results achieved.

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