Compactly supported radial basis functions for solving certain high order partial differential equations in 3D. (June 2015)

• Record Type: Journal Article
• Authors: Li, Wen; Li, Ming; Chen, C.S.; Liu, Xiaofeng
• Is Part Of: Engineering analysis with boundary elements. Volume 55(2015:Jun.)
• Page Start: 2
• Page End: 9
• Publication Date: 2015-06
• Subjects: Compactly supported radial basis functions -- The method of particular solutions -- The method of fundamental solutions -- Particular solution -- Homogeneous solution -- Plate vibration equation; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2014.11.012
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: Compactly supported radial basis functions have been selected as basis functions for the derivation of closed-form particular solution in the process of solving certain high order partial differential equations in 3D. The method of particular solutions and the method of fundamental solutions are employed to numerically evaluate the particular solution and homogeneous solution of a 3D problem. Two numerical examples are given to demonstrate that the proposed method is applicable for handling large-scale problems.