Multigrid Method for Solving Inverse Problems for Heat Equation

In this paper, the inverse problems for boundary value and initial in a heat equation are posed solved. It is well known that those ill posed. The reformulated as integral equations of first kind by using separation-of-variables method. discretization allowed us to reduce system linear algebraic or operator on Hilbert spaces. Landweber-type iterative method was used order find an approximation solution. V-cycle multigrid obtain more frequent fast convergence iteration. numerical computation examples presented verify accuracy computing