IDENTIFICATION OF TWO PARAMETERS IN AN ELLIPTIC BOUNDARY VALUE PROBLEM
Keywords:
inverse problem, least squares method, Levenberg-Marquardt algorithm.DOI:
https://doi.org/10.17654/0974324322016Abstract
This paper concerns an inverse problem which consists in determining two coefficients $b$ and $c$ in the equation $-b(x) u^{\prime \prime}+c(x) u^{\prime}=f$, $x \in] 0,1[$, 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.
Received: January 24, 2022
Accepted: April 8, 2022
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