NUMERICAL TREATMENT OF COUPLED NONLINEAR HYPERBOLIC KLEIN-GORDON EQUATIONS

被引：0

作者：

Doha, E. H. ^{[1
]}

Bhrawy, A. H. ^{[2
,3
]}

Baleanu, D. ^{[4
,5
,6
]}

Abdelkawy, M. A. ^{[3
]}

机构：

[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[3] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf 62511, Egypt

[4] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia

[5] Cankaya Univ, Dept Math & Comp Sci, TR-06810 Ankara, Turkey

[6] Inst Space Sci, RO-077125 Magurele, Romania

来源：

ROMANIAN JOURNAL OF PHYSICS | 2014年 / 59卷 / 3-4期

关键词：

Nonlinear coupled hyperbolic Klein-Gordon equations; Nonlinear phenomena; Jacobi collocation method; Jacobi-Gauss-Lobatto quadrature; TRAVELING-WAVE SOLUTIONS; COLLOCATION METHOD; DIFFERENTIAL-EQUATIONS; INTEGRAL-EQUATIONS; SOLITONS; MODEL;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A semi-analytical solution based on a Jacobi-Gauss-Lobatto collocation (J-GL-C) method is proposed and developed for the numerical solution of the spatial variable for two nonlinear coupled Klein-Gordon (KG) partial differential equations. The general Jacobi-Gauss-Lobatto points are used as collocation nodes in this approach. The main characteristic behind the J-GL-C approach is that it reduces such problems to solve a system of ordinary differential equations (SODEs) in time. This system is solved by diagonally-implicit Runge-Kutta-Nystrom scheme. Numerical results show that the proposed algorithm is efficient, accurate, and compare favorably with the analytical solutions.

引用

页码：247 / 264

页数：18

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