A discrete collocation method for Fredholm integro-differential equations with weakly singular kernels
β Scribed by Arvet Pedas; Enn Tamme
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 230 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0168-9274
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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
In this study, a Hermite matrix method is presented to solve high-order linear Fredholm integro-differential equations with variable coefficients under the mixed conditions in terms of the Hermite polynomials. The proposed method converts the equation and its conditions to matrix equations, which co