Rothe-Galerkin's method for a nonlinear integrodifferential equation

In this article we propose approximation schemes for solving nonlinear initial boundary value problem with Volterra operator. Existence, uniqueness of solution as well as some regularity results are obtained via Rothe-Galerkin method. Mathematics Subject Classification 2000: 35k55; 35A35; 65M20. In this article we propose approximation schemes for solving nonlinear initial boundary value problem with Volterra operator. Existence, uniqueness of solution as well as some regularity results are obtained via Rothe-Galerkin method. Mathematics Subject Classification 2000: 35k55; 35A35; 65M20.