- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 3
- A numerical algorithm for solving the Cauchy singular integral equation based on Hermite polynomials
A numerical algorithm for solving the Cauchy singular integral equation based on Hermite polynomials
Authors : Behrouz Parsa Moghaddam, J. A. Tenreiro Machado, Parisa Sattari Shajari, Zeynab Salamat Mostaghim
Pages : 974-983
Doi:10.15672/hujms.474938
View : 15 | Download : 7
Publication Date : 2020-06-02
Article Type : Research
Abstract :A numerical algorithm based on Hermite polynomials for solving the Cauchy singular integral equation in the general form is presented. The Hermite polynomial interpolation of unknown functions is first introduced. The proposed technique is then used for approximating the solution of the Cauchy singular integral equation. This approach requires the solution of a system of linear algebraic equations. Two examples demonstrate the effectiveness of the proposed method.Keywords : Cauchy singular integral equation, Hermite polynomials, Numerical schemes, Interpolation theory