A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions

被引：73

作者：

Dehghan, Mehdi ^{[1
]}

Shokri, Ali ^{[1
]}

机构：

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

来源：

NUMERICAL ALGORITHMS | 2009年 / 52卷 / 03期

关键词：

Hyperbolic partial differential equation; Nonlocal boundary condition; Collocation; Radial basis function (RBF); Thin plate splines (TPS); Multiquadrics (MQ); Inverse multiquadrics (IMQ); Gaussian (GA); Compactly supported RBFs; Shape parameter; PARTIAL-DIFFERENTIAL-EQUATIONS; MULTIQUADRIC COLLOCATION METHOD; DATA APPROXIMATION SCHEME; PARABOLIC EQUATION; HYPERBOLIC EQUATION; FINITE-DIFFERENCE; HEAT-EQUATION; SUBJECT; CONVERGENCE;

D O I：

10.1007/s11075-009-9293-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The hyperbolic partial differential equation with an integral condition arises in many physical phenomena. In this paper, we propose a numerical scheme to solve the one-dimensional hyperbolic equation that combines classical and integral boundary conditions using collocation points and approximating the solution using radial basis functions (RBFs). The results of numerical experiments are presented, and are compared with analytical solution and finite difference method to confirm the validity and applicability of the presented scheme.

引用

页码：461 / 477

页数：17

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