Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method

S. Iqbal; M. Idrees; A. M. Siddiqui; A. R. Ansari

doi:10.1016/j.amc.2010.04.001

Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method

S. Iqbal
, M. Idrees
, A. M. Siddiqui
, A. R. Ansari

Penn State York

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

89 Scopus citations

Abstract

We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect we consider the homogeneous, non-homogeneous, linear and nonlinear Klein-Gordon equations with boundary conditions. The results reveal that the method is explicit, effective, and easy to use.

Original language	English (US)
Pages (from-to)	2898-2909
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	216
Issue number	10
DOIs	https://doi.org/10.1016/j.amc.2010.04.001
State	Published - Jul 15 2010

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.amc.2010.04.001

Cite this

@article{5e266204ce5f4c5aab7e460005d51268,

title = "Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method",

abstract = "We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect we consider the homogeneous, non-homogeneous, linear and nonlinear Klein-Gordon equations with boundary conditions. The results reveal that the method is explicit, effective, and easy to use.",

author = "S. Iqbal and M. Idrees and Siddiqui, \{A. M.\} and Ansari, \{A. R.\}",

year = "2010",

month = jul,

day = "15",

doi = "10.1016/j.amc.2010.04.001",

language = "English (US)",

volume = "216",

pages = "2898--2909",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "10",

}

TY - JOUR

T1 - Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method

AU - Iqbal, S.

AU - Idrees, M.

AU - Siddiqui, A. M.

AU - Ansari, A. R.

PY - 2010/7/15

Y1 - 2010/7/15

N2 - We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect we consider the homogeneous, non-homogeneous, linear and nonlinear Klein-Gordon equations with boundary conditions. The results reveal that the method is explicit, effective, and easy to use.

AB - We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect we consider the homogeneous, non-homogeneous, linear and nonlinear Klein-Gordon equations with boundary conditions. The results reveal that the method is explicit, effective, and easy to use.

UR - https://www.scopus.com/pages/publications/77953297512

UR - https://www.scopus.com/pages/publications/77953297512#tab=citedBy

U2 - 10.1016/j.amc.2010.04.001

DO - 10.1016/j.amc.2010.04.001

M3 - Article

AN - SCOPUS:77953297512

SN - 0096-3003

VL - 216

SP - 2898

EP - 2909

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 10

ER -

Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this