Author(s)

Khadeejah Sultan Alroogy^1*, Musa Adam Aigo²

¹Department of Mathematics, Umm Al-Qura University, Macca, Saudi Arabia.
²Department of Mathematics, University College in Qunfudah, Umm Al-Qura University, Macca, Saudi Arabia.

In this paper, we derive a simple and efficient matrix formulation using Laguerre polynomials to solve the singular integral equation with degenerate kernel. This method is based on replacement of the unknown function by truncated series of well known Laguerre expansion of functions. This leads to a system of algebraic equations with Laguerre coefficients. Thus, by solving the matrix equation, the coefficients are obtained. Some numerical examples are included to demonstrate the validity and applicability of the proposed method.

Singular Integral Equation, Projection Method, Galerkin Method, La-guerre Polynomials

Alroogy, K. and Aigo, M. (2023) On the Numerical Solution of Singular Integral Equation with Degenerate Kernel Using Laguerre Polynomials. American Journal of Computational Mathematics, 13, 153-160. doi: 10.4236/ajcm.2023.131007.