A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms

Abstract

Numerical solutions of unsteady heat conduction problems with arbitrary initial conditions and source terms for anisotropic functionally graded materials (FGMs) of spatio-temporally dependent conductivity are sought. A combination of the variable reduction transformation and Laplace transform was utilized to derive a domain-boundary integral equation. Numerical solutions were obtained by using a standard domain-boundary element method and the Stehfest formula. The accuracy of the numerical method is also evaluated.

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