Control of Diffusion Equation using Finite Element Formulation,

Abstract

The finite method is a numerical method which can be used for the accurate solution of a complex boundary-value problem and other problem in Engineering. This paper dealt with the solution to an optimization problem for the diffusion equation using the finite element method. It was discovered that the nodal temperature (u(x,t)) shows cooling effect from the left to the right side of the rod, and consequently the output (z(x,t)) decreases, it is symmetric in nature.