A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms
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 der...
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semarak ilmu
2025
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| Online Access: | http://eprints.uthm.edu.my/12795/1/J19454_f3d5029784056825efb2ed708ee32329.pdf http://eprints.uthm.edu.my/12795/ https://doi.org/10.37934/arnht.29.1.4161 |
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| author | Azis, Mohammad Ivan Firman, Firman Muh. Nur, Muh. Nur M. Yusup, Eliza |
| author_facet | Azis, Mohammad Ivan Firman, Firman Muh. Nur, Muh. Nur M. Yusup, Eliza |
| author_sort | Azis, Mohammad Ivan |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | 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. |
| format | Article |
| id | my.uthm.eprints-12795 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2025 |
| publisher | semarak ilmu |
| record_format | eprints |
| spelling | my.uthm.eprints-127952025-07-01T23:53:01Z http://eprints.uthm.edu.my/12795/ A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms Azis, Mohammad Ivan Firman, Firman Muh. Nur, Muh. Nur M. Yusup, Eliza TA Engineering (General). Civil engineering (General) 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. semarak ilmu 2025 Article PeerReviewed text en http://eprints.uthm.edu.my/12795/1/J19454_f3d5029784056825efb2ed708ee32329.pdf 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 https://doi.org/10.37934/arnht.29.1.4161 |
| spellingShingle | TA Engineering (General). Civil engineering (General) Azis, Mohammad Ivan Firman, Firman Muh. Nur, Muh. Nur M. Yusup, Eliza A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms |
| title | A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms |
| title_full | A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms |
| title_fullStr | A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms |
| title_full_unstemmed | A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms |
| title_short | A Numerical Simulation for Heat Conduction in Anisotropic FGMs of Space-time Dependent Conductivities with Arbitrary Initial Conditions and Source Terms |
| title_sort | numerical simulation for heat conduction in anisotropic fgms of space-time dependent conductivities with arbitrary initial conditions and source terms |
| topic | TA Engineering (General). Civil engineering (General) |
| url | http://eprints.uthm.edu.my/12795/1/J19454_f3d5029784056825efb2ed708ee32329.pdf http://eprints.uthm.edu.my/12795/ https://doi.org/10.37934/arnht.29.1.4161 |
| url_provider | http://eprints.uthm.edu.my/ |