A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional Complex Ginzburg-Landau Equation

被引：0
|
作者：
Shokri, Ali [1 ]
Dehghan, Mehdi [1 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran
来源：
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2012年 / 84卷 / 04期
关键词：
Two-dimensional complex Ginzburg-Landau (GL) equation; Periodic boundary conditions; Radial Basis Functions (RBFs); Multiquadrics (MQ); Thin Plate Splines (TPS); Collocation; Predictor-corrector; PARTIAL-DIFFERENTIAL-EQUATIONS; TRANSIENT HEAT-CONDUCTION; DATA APPROXIMATION SCHEME; TIME-PERIODIC SOLUTIONS; GALERKIN MLPG METHOD; SCATTERED DATA; COLLOCATION METHOD; FINITE-ELEMENT; LOCAL BIEM; PARAMETER;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The Ginzburg-Landau equation has been used as a mathematical model for various pattern formation systems in mechanics, physics and chemistry. In this paper, we study the complex Ginzburg-Landau equation in two spatial dimensions with periodical boundary conditions. The method numerically approximates the solution by collocation method based on radial basis functions (RBFs). To improve the numerical results we use a predictor-corrector scheme. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the accuracy and efficiency of the presented method.
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页码：333 / 358
页数：26
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