We present the resolution and numerical simulation of an optimal control problem of the heat equation. We have proved the existence and uniqueness of the solution of the equation of state. Then we obtain the approximation of the optimization problem and a numerical solution of the model problem based on coupling of the Adomian decompositional method and the spectral method. Numerical simulations of the model have also been presented and error estimates for some parameter values have been given.

heat equation, existence of the solution, uniqueness of the solution, coupling of the Adomian decompositional method and the spectral method.

Received: September 6, 2022; Accepted: September 28, 2022; Published: November 26, 2022

How to cite this article: Tahirou Aboubacar Haboubacar, Djibo Moustapha and Saley Bisso, Resolution and numerical simulation of a control problem of the heat equation, International Journal of Numerical Methods and Applications 23(1) (2023), 1-17. http://dx.doi.org/10.17654/0975045223001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

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