Numerical methods for determining an unknown space wise dependent source in the heat equation

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Copy For Citation

Can E., Bayrak M. A., Kaplan F.

International journal of Engineering sciences and management, vol.5, no.1, 2015 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 5 Issue: 1
• Publication Date: 2015
• Journal Name: International journal of Engineering sciences and management
• Kocaeli University Affiliated: Yes

Abstract

This paper describes and compares two effective methods for the numerical solution of an unknown space dependent source function in the heat equation. One of these methods is obtained by differentiating the equation with respect to the time variable and using the finite-difference method, while the other is based on the trace type functional formulation of the problem.