The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases
محورهای موضوعی : Difference and functional equations
M. Nili Ahmadabadi
1
(Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran)
M. Arab
2
(Department of Mathematics, Yazd University, Yazd, Iran)
F. M. Maalek Ghaini
3
(Department of Mathematics, Yazd University, Yazd, Iran)
کلید واژه: Heat conduction, Functionally Graded Materials, Method of fundamental solutions,
چکیده مقاله :
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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