A note on the convergence of product integration and Galerkin method for weakly singular integral equations
โ 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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โฆ 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.
๐ SIMILAR VOLUMES
In this paper a class of weakly singular Volterra integral equations with an infinite set of solutions is investigated. Among the set of solutions only one particular solution is smooth and all others are singular at the origin. The numerical solution of this class of equations has been a difficult
## Abstract In this paper we reexamine a previously proposed quadrature scheme, [VENTURINO], based on a formula proposed in [STENGER, 1976]. Our goal is to establish a stability result for the dominant singular integral equation of index one, and from it derive the error analysis for the proposed n