کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1138284 | 1489211 | 2006 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions](/preview/png/1138284.png)
In this work, the method of radial basis functions is used for finding the solution of an inverse problem with source control parameter. Because a much wider range of physical phenomena are modelled by nonclassical parabolic initial-boundary value problems, theoretical behavior and numerical approximation of these problems have been active areas of research. The radial basis functions (RBF) method is an efficient mesh free technique for the numerical solution of partial differential equations. The main advantage of numerical methods which use radial basis functions over traditional techniques is the meshless property of these methods. In a meshless method, a set of scattered nodes are used instead of meshing the domain of the problem. The results of numerical experiments are presented and some comparisons are made with several well-known finite difference schemes.
Journal: Mathematical and Computer Modelling - Volume 44, Issues 11–12, December 2006, Pages 1160–1168