NUMERICAL APPROXIMATION OF THE FINAL STATE OF AN INCOMPLETE DATA HEAT PROBLEM

ABANI MAIDAOUAAli; DJIBO Moustapha; SALEY Bisso

ABANI MAIDAOUAAli Department of Mathematics and Computer Science, DanDicko Dankoulodo University, Maradi, Niger
DJIBO Moustapha Department of Applied Mathematics and Computer Science Dosso University, P. O. Box 230, Dosso, Niger
SALEY Bisso Department of Mathematics and Computer Science, Abdou Moumouni University, P. O. Box 10 662, Niamey, Niger

Article ID: 2412

Keywords: inverse problem; non-standard problem; adjoint problem; spectral method

Abstract

We determine the state at an instant $T_0$ 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.

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