Collocation method for solving system of non-linear Abel integral equations
نویسندگان
1 Department of Mathematics, Shahed University, Tehran, Iran
2 Department of Mathematics, Shahed University, Tehran, Iran
doi
10.22075/ijnaa.2022.26754.3407چکیده
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.
