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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/43098

Title: Time-dependent fundamental solutions for homogeneous diffusion problems
Authors: D.L. Young;C.C. Tsai;K. Murugesan;C.M. Fan;C.W. Chen
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Method of fundamental solutions;Diffusion equation;Diffusion fundamental solution;Multi-dimensions
Date: 2004-12
Issue Date: 2017-05-26T07:40:37Z
Publisher: Engineering Analysis and Boundary Element
Abstract: Abstract:This paper describes the applications of the method of fundamental solutions (MFS) for 1-, 2- and 3-D diffusion equations. The time-dependent fundamental solutions for diffusion equations are used directly to obtain the solution as a linear combination of the fundamental solution of the diffusion operator. The proposed scheme is free from the conventionally used Laplace transform or the finite difference scheme to deal with the time derivative of the governing equation. By properly placing the field points and the source points at a given time level, the solution is advanced in time until steady state solutions are reached. Test results obtained for 1-, 2- and 3-D diffusion problems show good comparisons with the analytical solutions and some with the MFS based on the modified Helmholtz fundamental solutions, thus the demonstration present numerical scheme of MFS with the space–time unification has been demonstrated as a promising mesh-free numerical tool to solve homogeneous diffusion problem.
Relation: 28(12), pp.1463-1473
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/43098
Appears in Collections:[河海工程學系] 期刊論文

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