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

Subject Areas : Difference and functional equations

M. Nili Ahmadabadi ¹ , M. Arab ² , F. M. Maalek Ghaini ³

1 - Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran
2 - Department of Mathematics, Yazd University, Yazd, Iran
3 - Department of Mathematics, Yazd University, Yazd, Iran

Received: 2013-01-01 Accepted : 2013-01-01 Published : 2013-06-01

Keywords: Heat conduction, Functionally Graded Materials, Method of fundamental solutions,

Abstract :

In this paper, the Method of Fundamental Solutions (MFS) is extended to solvesome 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 usinga suitable new transformation and then the MFS together with the Tikhonov regularizationmethod is used to solve the resulting equation.

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