^{1}Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran;

^{2}Department of Mathematics, Yazd University, Yazd, Iran.

Abstract

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 mate- rials. First, the problem is transformed to a heat equation with constant coecients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.

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