Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales

Abstract

This work is devoted to numerical methods for solution of the inverse coefficient problem for the nonlinear differential equations. Two approaches to solution of this inverse problem are offered. One consists in representation of unknown coefficient by some function depending on a set of unknown numerical parameters. Then the inverse problem is solved by gradient minimization methods of residual function using additional condition. The other consist in construction of iterative process basing on integral formula, obtanied from additional condition. A priori representation of unknown coefficient in a parametrical form in not required in this case. The efficiency of the suggested methods are demostrated by a number of numerical experiments.