IDENTIFICATION OF TWO PARAMETERS IN AN ELLIPTIC BOUNDARY VALUE PROBLEM
This paper concerns an inverse problem which consists in determining two coefficients b and c in the equation knowing the solution function u and the right-hand side function f. The questions of uniqueness and stability are investigated. This problem is solved by using the nonlinear least squares method. We present some numerical examples to illustrate our algorithm.
inverse problem, least squares method, Levenberg-Marquardt algorithm.
Received: January 24, 2022; Accepted: April 8, 2022; Published: May 6, 2022
How to cite this article: Abir Benyoucef, Leila Alem and Lahcène Chorfi, Identification of two parameters in an elliptic boundary value problem, Advances in Differential Equations and Control Processes 27 (2022), 115-132. http://dx.doi.org/10.17654/0974324322016
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