A boundary-only integral equation method for parabolic problems of another class of anisotropic functionally graded materials

Azis, Moh. Ivan and Abbaszadeh, Mostafa and Dehghan, Mehdi and Solekhudin, Imam (2021) A boundary-only integral equation method for parabolic problems of another class of anisotropic functionally graded materials. MATERIALS TODAY COMMUNICATIONS, 26.

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Abstract

In this paper a combined Laplace transform and boundary element method is used to find numerical solutions to problems of another class of anisotropic functionally graded materials which are governed by a variable coefficients parabolic equation. A transformation is used to reduce the variable coefficients equation to a constant coefficients equation, which is then transformed into a boundary-only integral equation. Some examples are considered to show the validity of the analysis, consistency and accuracy of the numerical solutions. A verification for the effect of the anisotropy and inhomogeneity of the material on the solutions is also examined.

Item Type: Article
Uncontrolled Keywords: Anisotropic functionally graded materials; Variable coefficients; Parabolic equation; Laplace transform; Boundary element method
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Mathematics and Natural Sciences > Mathematics Department
Depositing User: Sri JUNANDI
Date Deposited: 17 Oct 2024 04:19
Last Modified: 17 Oct 2024 04:19
URI: https://ir.lib.ugm.ac.id/id/eprint/9288

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