We determine the state at an instant T₀, of a 2D heat problem whose initial condition is partially known on a part of the domain. We use a non-standard method to solve this problem numerically.

inverse problem, non-standard problem, adjoint problem, spectral method.

Received: April 27, 2023; Accepted: May 29, 2023; Published: June 15, 2023

How to cite this article: ABANI MAIDAOUA Ali, DJIBO Moustapha and SALEY Bisso, Numerical approximation of the final state of an incomplete data heat problem, Advances in Differential Equations and Control Processes 30(3) (2023), 199-212. http://dx.doi.org/10.17654/0974324323012

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

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