Numerical Solution Methods for a Nonlinear Operator Equation Arising in an Inverse Coefficient Problem

Abstract

We consider the inverse problem of determining two unknown coefficients in a linearsystem of partial differential equations using additional information about one of the solutioncomponents. The problem is reduced to a nonlinear operator equation for one of the unknowncoefficients. The successive approximation method and the Newton method are used to solve thisoperator equation numerically. Results of calculations illustrating the convergence of numericalmethods for solving the inverse problem are presented.