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

Azis, Mohammad Ivan and Firman, Firman and Muh. Nur, Muh. Nur and M. Yusup, Eliza (2025) A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms. Journal of Advanced Research in Numerical Heat Transfer, 29 (1). pp. 41-61. ISSN 2735-0142

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Abstract

Numerical solutions of unsteady heat conduction problems with arbitrary initial conditions and source terms for anisotropic functionally graded materials (FGMs) of spatiotemporal dependent conductivity are sought. The variable reduction transformation and Laplace transform (LT) were combined to derive a domainboundary integral equation. Numerical solutions were obtained using a standard domain-boundary element method (DBEM) and the Stehfest formula. The accuracy of the numerical method is also evaluated. It can be concluded that the LT-DBEM is efficient and accurate.

Item Type:	Article
Uncontrolled Keywords:	Anisotropic; Functionally graded materials; Heat conduction; Space-time dependent conductivity; Domainboundary element method
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Mechanical and Manufacturing Engineering > FKMP
Depositing User:	Mr. Mohamad Zulkhibri Rahmad
Date Deposited:	01 Jul 2025 23:52
Last Modified:	01 Jul 2025 23:53
URI:	http://eprints.uthm.edu.my/id/eprint/12795

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