On Laguerre-Gaussians and Fredholm integral equations

African Journal of Mathematics and Computer Science Research

Terhemen Aboiyar¹ 

关键词: Gaussians;    Laguerre-Gaussians;    Fredholm integral equations;    collocation.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

The Gaussian and its generalization known as the Laguerre-Gaussians are used in this paper as a collocation basis for Fredholm integral equations of the second kind. The collocation points are chosen so that they coincide with the points around with the interpolant is translated. This leads to a linear system whose solution gives the coefficients of the interpolant. In this study, we haveused two examples to illustrate the proposed method and the comparison between exact and numerical solutions shows that the proposed method provides a good approximation to the exact solution.

【 授权许可】

CC BY