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Abstracts

XIX conference

Optimization with Pennes' bioheat equation as constraint

Malek A., Abbasi GH.

Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, P.O. Box 14115-134, Iran, +98(21)82883445, E-mail: mala@modares.ac.ir

In this paper, an energy optimization problem with Pennes’ bioheat equation as a constraint is solved numerically. The solution of optimal control problem for the Pennes’ bioheat equation involving boundary function of continuous time variable in its energy function is proposed. A specific direct approach based on Control parameterization method is suggested to solve optimal boundary control for Pennes’ bioheat equation. Using space discretization one obtains an ODE which is then solved by using fourth-order Runge-Kutta formula. Now we deal with a linear system of algebraic equations based on

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