An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics

Abstract

In this paper, we aim to solve nonlinear system of generalized Abel integral equations arising in astrophysics. The suggested approach is operational matrix technique by using Legendre scaling functions as a basis. Convergence analysis of the suggested technique is provided. Numerical experiments are performed to show the effectiveness of the proposed scheme. The results are shown through figures and tables. © 2019