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 -b(x)u" + c(x)u' = f, x is an element of] 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.