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Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS)


Article Title: Reducing the Solution of the Control Problem of Inhomogeneous Heat Equation to the Homogeneous Case
by Hasan Almefleh

In the earlier study of Raid Almomani and Hasan Almefleh, the control problem of heat conduction problem with inverse direction of time and integral boundary conditions was formulated, showing the non-well-posedness of the problem. In this paper we reduce the solution of the control problem of the inhomogeneous heat equation to the homogeneous case. The solution of our problem plays an important role in optimal control in heat conduction theory and in plasma physics, that is, in those problems where we have an integral restriction on a function.
Keywords: integral boundary conditions, inhomogeneous heat equation, control problem of heat conduction, inverse direction of time.
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ISSN: 2141-7016

Editor in Chief.

Prof. Gui Yun Tian
Professor of Sensor Technologies
School of Electrical, Electronic and Computer Engineering
University of Newcastle
United Kingdom



Copyright © Journal of Emerging Trends in Engineering and Applied Sciences 2010