پديدآورندگان :
Kafi Sayyed Rasoul r.kaafi@sutech.ac.ir Department of Mathematics, Faculty of Sciences, Shiraz University of Technology, Modarres Blvd., Shiraz 71557-13876, Iran. , Hesameddini Esmail hesameddini@sutech.ac.ir Department of Mathematics, Faculty of Sciences, Shiraz University of Technology, Modarres Blvd., Shiraz 71557-13876, Iran. , Mokhtary Payam mokhtary@sut.ac.ir Department of Mathematics, Faculty of Sciences, Sahand University of Technology, Shahid Ghazi Tabatabaei Blvd., Tabriz 53318-41133, Iran.
چكيده فارسي :
In this paper, we study a numerical scheme for system of generalized Abel integral equations which has a special form of weakly singular kernels. Firstly, the existence and uniqueness of solution for the given system are shown. After that the matrix-vector form of the system is presented. To solve the obtained system of equations, a spectral method based on the Jacobi polynomials is used. Also, the performance of the method is shown by preparing an example.
