Analytical solutions to the pulsed Klein-Gordon equation using Modified Variational Iteration Method (MVIM) and Boubaker Polynomials Expansion Scheme (BPES)

被引:45
作者
Yildirim, A. [2 ]
Mohyud-Din, S. T.
Zhang, D. H. [1 ]
机构
[1] S China Univ, Dept Phys, Guangzhou 510642, Guangdong, Peoples R China
[2] Ege Univ, TR-35100 Izmir, Turkey
关键词
Klein-Gordon equation; Stationary regime; Applied physics; RADIAL BASIS FUNCTIONS; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; NONLINEAR-WAVE EQUATIONS; BOUNDARY-VALUE-PROBLEMS; DECOMPOSITION METHOD; PARABOLIC EQUATION; PERIODIC-SOLUTIONS; KEYHOLE MODEL; FIELD-THEORY;
D O I
10.1016/j.camwa.2009.12.026
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this study, we propose an analytical solution to the Klein-Gordon equation in a pulsed stationary regime. The performed protocols are based on the modified variational iteration method MVIM and Boubaker polynomials expansion scheme BPES. The results are presented, and compared with some solutions proposed later in order to confirm the good accuracy of the protocols used. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2473 / 2477
页数:5
相关论文
共 52 条
[1]   Modified variational iteration method for Boussinesq equation [J].
Abassy, Tamer A. ;
El-Tawil, Magdy A. ;
El-Zoheiry, H. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :955-965
[2]  
Ablowitz M J., 1990, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform
[3]   THE SINE-GORDON, KLEIN-GORDON, AND KORTEWEG-DEVRIES EQUATIONS [J].
ADOMIAN, G .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (05) :133-136
[4]  
[Anonymous], INT J HEAT TECHNOL
[5]  
[Anonymous], J THERMOPHYS HEAT TR
[6]  
[Anonymous], J DIFFER EQU C P
[7]   A solution to Bloch NMR flow equations for the analysis of hemodynamic functions of blood flow system using m-Boubaker polynomials [J].
Awojoyogbe, O. Bamidele ;
Boubaker, Karem .
CURRENT APPLIED PHYSICS, 2009, 9 (01) :278-283
[8]   Boubaker Polynomials Expansion Scheme-Related Heat Transfer Investigation Inside Keyhole Model [J].
Belhadj, A. ;
Onyango, O. F. ;
Rozibaeva, N. .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2009, 23 (03) :639-640
[9]   Enhancement of pyrolysis spray disposal performance using thermal time-response to precursor uniform deposition [J].
Boubaker, K. ;
Chaouachi, A. ;
Amlouk, M. ;
Bouzouita, H. .
EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS, 2007, 37 (01) :105-109
[10]  
BOUBAKER K, 2008, INT J HEAT TECHNOL, V20, P49