Transient heat conduction analysis in functionally graded materials by the meshless local boundary integral equation method

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Boundary knot method for heat conduction in nonlinear functionally graded material (2011, methodology): “, thermal barrier materials [2], optical materials [3], electronic materials [4] and ever biomaterials [5]) During the past decades extensive studies have been carried out on developing numerical methods for analyzing the thermal behavior of FGMs, for example, the finite element method (FEM) [6], th”
Three-Dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method (2005, methodology): “[29] have used the meshless local boundary integral equation method to analyze transient heat conduction in a FG material.”
The simple boundary element method for transient heat conduction in functionally graded materials (2004, methodology): “Three different classes of variations are considered.”
A meshless model for transient heat conduction in functionally graded materials (2006, methodology): “For comparison, the results at some particular points obtained by both the proposed method and the meshless local boundary integral equation method (LBIEM)[10] are listed in Table 1.”