Journal of Emerging Trends in Engineering and Applied Sciences: Research Areas

Abstract:
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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