Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
The authors consider the inverse problem of determining the right-hand side of a parabolic equation using measurements of its solution at internal points. To solve the problem numerically they rewrite it in a form of a loaded parabolic equation and then suggest a finite difference scheme for the last. Neither convergence results nor numerical experiments are presented.
scientific article; zbMATH DE number 1437171