Collocation method for solving system of non-linear Abel integral equations

Author(s):

Somayeh Kazemi , Abolfazl Tari *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
‎In this paper‎, ‎a special system of non-linear Abel integral equations (SNAIEs) is studied which arises in astrophysics‎. ‎Here‎, ‎the well-known collocation method is extended to obtain approximate solutions of the SNAIEs‎. ‎The existence and uniqueness conditions of the solution are investigated‎. ‎Finally‎, ‎some examples are solved to illustrate the accuracy and efficiency of the proposed method.‎
Keywords:

Abel Integral Equations‎ , ‎System‎ , ‎Collocation Method‎ , ‎Existence , Uniqueness

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:15 Issue: 7, Jul 2024
Pages:
93 to 100
https://www.magiran.com/p2729394