Legendre Galerkin method for weakly singular Fredholm integral equations and the corresponding eigenvalue problem
✍ Scribed by Bijaya Laxmi Panigrahi…
- Book ID
- 120955511
- Publisher
- Springer-Verlag
- Year
- 2013
- Tongue
- English
- Weight
- 766 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1598-5865
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In this paper we propose new numerical methods for linear Fredholm integral equations of the second kind with weakly singular kernels. The methods are developed by means of the Sinc approximation with smoothing transformations, which is an effective technique against the singularities of the equatio
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 s