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

โœ Scribed by Paola Baratella


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
387 KB
Volume
85
Category
Article
ISSN
0377-0427

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โœฆ Synopsis


We consider weakly singular integral equations of Fredholm-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.


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