The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases

Journal of Linear and Topological Algebra

مقاله 7، دوره 02، شماره 02، شهریور 2013، صفحه 117-127   

نوع مقاله: Research Paper

نویسندگان

M. Nili Ahmadabadi¹؛ M. Arab²؛ F. M. Maalek Ghaini²

¹Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran

²Department of Mathematics, Yazd University, Yazd, Iran

چکیده

In this paper, the Method of Fundamental Solutions (MFS) is extended to solve some special cases of the problem of transient heat conduction in functionally graded materials. First, the problem is transformed to a heat equation with constant coefficients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.

کلیدواژه‌ها

Heat conduction؛ Functionally Graded Materials؛ Method of fundamental solutions

مراجع

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