Legendre-collocation method to solve the second kind Cauchy integral equations

Author(s):

Arezoo Heidari , Saeid Khezerloo * , Alireza Gilani , Rahele Nuraei , Muhammad Arghand

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
A numerical solution for the second kind singular integral equations with Cauchy kernel is developed using the collocation method. To achieve this, we approximate the Cauchy integral equation using the collocation method and Legendre orthogonal polynomial expansions. The accuracy of our proposed method is assessed through convergence and error analysis. Finally, several numerical examples are presented to  demonstrate the high efficiency of the method.
Keywords:

Cauchy Integral Equation , Legendre Polynomials , Collocation Method

Language:
English
Published:
Journal of Mathematical Modeling, Volume:13 Issue: 1, Winter 2025
Pages:
209 to 218
https://www.magiran.com/p2837007