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- Title
Implementation of Dual Reciprocity Boundary Element Method for Heat Conduction Problems in Anisotropic Solid.
- Authors
Pramesti, A. A. Nithi; Solekhudin, Imam; Azis, Moh. Ivan
- Abstract
In this paper, some time-dependent heat conduction problems in anisotropic thin plates are considered. To study the problems, the governing equations of the problems are transformed into Helmholtz-type equations. The Helmholtztype equations with respect to transformed boundary conditions are solved numerically using Dual Reciprocity Boundary Element Method (DRBEM). The method is tested using several problems involving time-dependent heat conduction in anisotropic thin plates. Two of the problems are with analytical solution, and the other problem is with unknown analytical solution. For problems with analytical solution, numerical results obtained using the method have a good accuracy. Moreover, the method is implemented to examine variation of temperature in the anisotropic thin plates as time increases.
- Subjects
BOUNDARY element methods; ANISOTROPIC crystals; HEAT conduction; ANALYTICAL solutions; RECIPROCITY (Psychology)
- Publication
IAENG International Journal of Applied Mathematics, 2022, Vol 52, Issue 1, p122
- ISSN
1992-9978
- Publication type
Article