A note on the convergence of product integration and Galerkin method for weakly singular integral equations

[摘要] We consider weakly singular integral equations of Fledholm-type whose kernels satisfy certain algebraic estimates with their derivatives. In particular, we establish optimal convergence order estimates for product integration and Galerkin method applied on suitable grading mesh for the solution of such equations. Some superconvergence results are also derived.

[发布日期] 1997-11-06

[关键词] weak singularities;Galerkin method;product integration;graded mesh