A method based on the SCT to solve the inverse problem for heat equation
Publish Year: 1402
Type: Journal paper
Language: English
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Document National Code:
JR_APRIE-10-3_008
Index date: 20 April 2024
A method based on the SCT to solve the inverse problem for heat equation abstract
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.
A method based on the SCT to solve the inverse problem for heat equation Keywords:
A method based on the SCT to solve the inverse problem for heat equation authors
Samaneh Akbarpour
Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
Abdollah Shidfar
Department of Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, Iran.
Hashem Saberi Najafi
Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
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