Document Type : Research Paper


1 Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran.

2 Department of Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, Iran.


In this article, a mathematical model of the inverse problem is considered. Based

on this model a formulation of inverse problem for heat equation is proposed.

Shifted Chebyshev Tau (SCT) method is suggested to solve the inverse problem.

The aim of this determined effort is to identify unknown function and unknown

control parameter of the mathematical model. In order to achieve highly accurate

solution to this problem, the operational matrix of shifted Chebyshev polynomials

is investigated in conjunction with tau scheme. To demonstrate the validity and

applicability of the developed scheme, numerical example is presented.


Main Subjects