期刊
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
卷 8, 期 3, 页码 545-559出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219876211002484
关键词
Radial basis functions; particular solution; homogeneous solution; meshless method; elliptic partial differential equations
资金
- NATO [ESP.CLG.982891]
A new version of the method of approximate particular solutions (MAPSs) using radial basis functions (RBFs) has been proposed for solving a general class of elliptic partial differential equations. In the solution process, the Laplacian is kept on the left-hand side as a main differential operator. The other terms are moved to the right-hand side and treated as part of the forcing term. In this way, the close-form particular solution is easy to obtain using various RBFs. The numerical scheme of the new MAPSs is simple to implement and yet very accurate. Three numerical examples are given and the results are compared to Kansa's method and the method of fundamental solutions.
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