Author/Authors :
Nili Ahmadabadi، M نويسنده Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran , , Arab، M نويسنده Department of Mathematics, Yazd University, Yazd, Iran , , Maalek Ghaini، F M نويسنده 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.