A reliable treatment of homotopy perturbation method for Klein-Gordon equations

Zaid Odibat; Shaher Momani

doi:10.1016/j.physleta.2007.01.064

A reliable treatment of homotopy perturbation method for Klein-Gordon equations

Zaid Odibat
, Shaher Momani

Al-Balqa Applied University
University of Mutah

Research output: Contribution to journal › Article › peer-review

72 Scopus citations

Abstract

In this Letter, we present a reliable algorithm of the homotopy perturbation method to the nonlinear Klein-Gordon equations. The algorithm provides analytical approximations for different types of the Klein-Gordon equations. The proposed framework overcomes the difficulty that arising in calculating complicated integrals using the homotopy perturbation method. Some numerical illustrations are given to show the efficiency of the algorithm.

Original language	English
Pages (from-to)	351-357
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	365
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2007.01.064
State	Published - 11 Jun 2007
Externally published	Yes

Keywords

Homotopy perturbation method
Klein-Gordon equations

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10.1016/j.physleta.2007.01.064

Cite this

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title = "A reliable treatment of homotopy perturbation method for Klein-Gordon equations",

abstract = "In this Letter, we present a reliable algorithm of the homotopy perturbation method to the nonlinear Klein-Gordon equations. The algorithm provides analytical approximations for different types of the Klein-Gordon equations. The proposed framework overcomes the difficulty that arising in calculating complicated integrals using the homotopy perturbation method. Some numerical illustrations are given to show the efficiency of the algorithm.",

keywords = "Homotopy perturbation method, Klein-Gordon equations",

author = "Zaid Odibat and Shaher Momani",

year = "2007",

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T1 - A reliable treatment of homotopy perturbation method for Klein-Gordon equations

AU - Odibat, Zaid

AU - Momani, Shaher

PY - 2007/6/11

Y1 - 2007/6/11

N2 - In this Letter, we present a reliable algorithm of the homotopy perturbation method to the nonlinear Klein-Gordon equations. The algorithm provides analytical approximations for different types of the Klein-Gordon equations. The proposed framework overcomes the difficulty that arising in calculating complicated integrals using the homotopy perturbation method. Some numerical illustrations are given to show the efficiency of the algorithm.

AB - In this Letter, we present a reliable algorithm of the homotopy perturbation method to the nonlinear Klein-Gordon equations. The algorithm provides analytical approximations for different types of the Klein-Gordon equations. The proposed framework overcomes the difficulty that arising in calculating complicated integrals using the homotopy perturbation method. Some numerical illustrations are given to show the efficiency of the algorithm.

KW - Homotopy perturbation method

KW - Klein-Gordon equations

UR - https://www.scopus.com/pages/publications/34247366852

U2 - 10.1016/j.physleta.2007.01.064

DO - 10.1016/j.physleta.2007.01.064

M3 - Article

AN - SCOPUS:34247366852

SN - 0375-9601

VL - 365

SP - 351

EP - 357

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

A reliable treatment of homotopy perturbation method for Klein-Gordon equations

Abstract

Keywords

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