Numerical Solutions of DCR Problems for Anisotropic FGMs of SpatioTemporal Dependent Properties and a Source Inclusion

Azis, Mohammad Ivan and Firman, Firman and Magdalena, Ikha and Widowat, Widowat and Solekhudin, Imam and M. Yusup, Eliza (2025) Numerical Solutions of DCR Problems for Anisotropic FGMs of SpatioTemporal Dependent Properties and a Source Inclusion. Journal of Advanced Research in Numerical Heat Transfer, 30 (1). pp. 82-107. ISSN 2735-0142

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Abstract

A combined Laplace transform (LT) and domain-boundary element method (DBEM) are utilized to obtain numerical solutions for an unsteady spatio-temporal coefficient diffusion-convection-reaction (DCR) equation with arbitrary initial condition and source terms, addressing problems in a distinct class of anisotropic functionally graded materials (FGMs). The process involves deriving a domain-boundary integral equation by transforming the variable coefficient equation into a constant coefficient equation and applying the Laplace transform. Numerical solutions are then obtained using the standard domain-boundary element method and the Stehfest formula. This study includes cases for compressible or incompressible flows, and demonstrates the accuracy of the numerical solutions.

Item Type:	Article
Uncontrolled Keywords:	Anisotropic functionally graded materials; Unsteady diffusionconvection reaction equation; Laplace transform; Arbitrary initial condition; Source term; Compressible and incompressible flow; Integral equation 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:	20 Aug 2025 00:41
Last Modified:	20 Aug 2025 00:42
URI:	http://eprints.uthm.edu.my/id/eprint/12832

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