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Three boundary meshless methods for heat conduction analysis in nonlinear FGMs with Kirchhoff and Laplace transformation

Fu, Zhuo-Jia; Chen, Wen; Qin, Qing Hua


This paper presents three boundary meshless methods for solving problems of steady-state and transient heat conduction in nonlinear functionally graded materials (FGMs). The three methods are, respectively, the method of fundamental solution (MFS), the boundary knot method (BKM), and the collocation Trefftz method (CTM) in conjunction with Kirchhoff transformation and various variable transformations. In the analysis, Laplace transform technique is employed to handle the time variable in...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Advances in Applied Mathematics and Mechanics
DOI: 10.4208/aamm.10-m1170


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