On the selection of a good value of shape parameter in solving time-dependent partial differential equations using RBF approximation method

被引：63
|
作者：
Uddin, Marjan [1 ]
机构：
[1] Univ Engn & Technol, Dept Basic Sci, Peshawar, Pakistan
来源：
APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 01期
关键词：
Kernel functions; Partial differential equations; Cross validation; Shape parameter; RADIAL BASIS FUNCTIONS; FUNCTION COLLOCATION METHODS; MESH-FREE METHOD; NUMERICAL-SOLUTION; SCATTERED DATA; INTERPOLATION; SCHEME; MULTIQUADRICS;
D O I：
10.1016/j.apm.2013.05.060
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Radial basis function method is an effective tool for solving differential equations in engineering and sciences. Many radial basis functions contain a shape parameter c which is directly connected to the accuracy of the method. Rippa [1] proposed an algorithm for selecting good value of shape parameter c in RBF-interpolation. Based on this idea, we extended the proposed algorithm for selecting a good value of shape parameter c in solving time-dependent partial differential equations. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：135 / 144
页数：10
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