A meshfree method for the numerical solution of the RLW equation

被引：95

作者：

Siraj-ul-Islam ^{[1
]}

Haq, Sirajul ^{[2
]}

Ali, Arshed ^{[2
]}

机构：

[1] Univ Engn & Technol, Peshawar, NWFP, Pakistan

[2] GIK Inst Engn Sci & Technol, Topi NWFP, Fac Engn Sci, Topi, NWFP, Pakistan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 223卷 / 02期

关键词：

Regularized long wave (RLW) equation; Solitary wave; Collocation method; Radial basis functions (RBFs); Undular bore; RADIAL BASIS FUNCTIONS; LONG-WAVE EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; GALERKIN METHOD; COMPUTATIONAL METHOD; COLLOCATION METHODS; B-SPLINES; CONVERGENCE; SCHEME;

D O I：

10.1016/j.cam.2008.03.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a meshfree technique for the numerical solution of the regularized long wave (RLW) equation. This approach is based on a global collocation method using the radial basis functions (RBFs). Different kinds of RBFs are used for this purpose. Accuracy of the new method is tested in terms of L-2 and L-infinity error norms. In case of non-availability of the exact solution, performance of the new method is compared with existing methods. Stability analysis of the method is established. Propagation of single and double solitary waves, wave undulation, and conservation properties of mass, energy and momentum of the RLW equation are discussed. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：997 / 1012

页数：16

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