Work

Numerical Solutions of DCR Problems for Anisotropic FGMs of Spatio-Temporal Dependent Properties and a Source Inclusion

Year: 2025

Type: article

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.

Source: Journal of Advanced Research in Numerical Heat Transfer

DOI: 10.37934/arnht.30.1.82107

Authors: Mohammad Ivan Azis, Firman Firman, Ikha Magdalena, Widowati Widowati, Imam Solekhudin, Eliza M. Yusup

Institutions: Hasanuddin University, Bandung Institute of Technology, Diponegoro University, Universitas Gadjah Mada, Tun Hussein Onn University of Malaysia

Language: English

Topic: Heat Transfer and Numerical Methods

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4408175809

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