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

‎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.‎

کلیدواژه ها:

Abel integral equations‎ ، ‎System‎ ، ‎Collocation method‎ ، ‎Existence and uniqueness