A Not-a-Knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation

被引：95

作者：

Shokri, Ali ^{[1
]}

Dehghan, Mehdi ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 12期

关键词：

Boussinesq equation (Bq); Improved Boussinesq equation (IBq); Radial basis functions (RBFs); Multiquadrics (MQ); Collocation; Predictor-corrector scheme; Not-a-Knot method; Meshless method; PARTIAL-DIFFERENTIAL-EQUATIONS; DOMAIN DECOMPOSITION METHOD; DATA APPROXIMATION SCHEME; SOLITON-SOLUTIONS; SCATTERED DATA; COLLOCATION METHOD; WAVE SOLUTIONS; SUBJECT; MULTIQUADRICS; FLOW;

D O I：

10.1016/j.cpc.2010.08.035

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A numerical simulation of the improved Boussinesq (IBq) equation is obtained using collocation and approximating the solution by radial basis functions (RBFs) based on the third-order time discretization. To avoid solving the nonlinear system, a predictor-corrector scheme is proposed and the Not-a-Knot method is used to improve the accuracy in the boundary. The method is tested on two problems taken from the literature: propagation of a solitary wave and interaction of two solitary waves. The results of numerical experiments are compared with analytical solution and with those of other recently published methods to confirm the accuracy and efficiency of the new scheme presented in this paper. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1990 / 2000

页数：11

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