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Rothe-Galerkin's method for a nonlinear integrodifferential equation

Abderrazek Chaoui* and Assia Guezane-Lakoud

Author Affiliations

Laboratory of advanced materials, Badji Mokhtar University, Annaba, Algeria

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Boundary Value Problems 2012, 2012:10  doi:10.1186/1687-2770-2012-10

Published: 8 February 2012


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.

Rothe's method; a priori estimate; integrodifferential equation; Galerkin method; weak solution