Please use this identifier to cite or link to this item: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/16900
Title: A Finite Element Technique to the Optimal Control of Two Dimensional Diffusion Equations
Authors: Cole, A. T.
Keywords: Finite element, boundary-value problem, optimization problem and diffusion equation
Issue Date: Apr-2009
Publisher: Journal of Science, Education and Technology
Series/Report no.: 2;1
Abstract: This paper dealt with the study of the optimal control (u(x,t)) and optimal state (z(x,t)) for two dimensional diffusion equations using finite element method (FEM). The finite element method is a very powerful tool for getting numerical solution of a wide range of engineering problems. The optimal control profile ue and the optimal state profile ze against the number of element e of the two dimensional diffusion solutions with varying space dimension n are obtained. It was discovered that the nodal temperature shows cooling effect from the left to the right side of the rod, and subsequently the output decreases. It is symmetric in nature.
URI: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/16900
ISSN: 1596-9770
Appears in Collections:Mathematics

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