Variable Shape Parameter Strategy in Local Radial Basis Functions Collocation Method for Solving the 2D Nonlinear Coupled Burgers' Equations

被引：1

作者：

Nojavan, Hananeh ^{[1
]}

Abbasbandy, Saeid ^{[1
]}

Allahviranloo, Tofigh ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 14778, Iran

来源：

MATHEMATICS | 2017年 / 5卷 / 03期

关键词：

local meshless method; variable shape parameter (VSP); reproducing kernel space; 2D nonlinear coupled Burgers' equations; PARTIAL-DIFFERENTIAL-EQUATIONS; DATA APPROXIMATION SCHEME; HILBERT-SPACE METHOD; NUMERICAL-SOLUTION; MESHLESS METHODS; MULTIQUADRICS; OPTIMIZATION; ELEMENT; LINES;

D O I：

10.3390/math5030038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study aimed at investigating a local radial basis function collocation method (LRBFCM) in the reproducing kernel Hilbert space. This method was, in fact, a meshless one which applied the local sub-clusters of domain nodes for the approximation of the arbitrary field. For time-dependent partial differential equations (PDEs), it would be changed to a system of ordinary differential equations (ODEs). Here, we intended to decrease the error through utilizing variable shape parameter (VSP) strategies. This method was an appropriate way to solve the two-dimensional nonlinear coupled Burgers' equations comprised of Dirichlet and mixed boundary conditions. Numerical examples indicated that the variable shape parameter strategies were more efficient than constant ones for various values of the Reynolds number.

引用

页数：21

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