Rothe-Galerkin's method for a nonlinear integrodifferential equation

Boundary value problems

Assia Guezane-Lakoud¹  Abderrazek Chaoui¹ 

[1] Laboratory of advanced materials, Badji Mokhtar University, Annaba, Algeria

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

DOI  :  10.1186/1687-2770-2012-10

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY