In this paper, the efficient numerical solutions of a class of system of Fredholm integral equations are solved by the Nyström method, which discretizes the system of integral equations into solving a linear system. The existence and uniqueness of the exact solutions are proved by the Banach fixed point theorem. The format of the Nyström solutions is given, especially with the composite Trapezoidal and Simpson rules. The results of error estimation and convergence analysis are obtained in the infinite norm sense. The validity and reliability of the theoretical analysis are verified by numerical experiments.
Convergence analysis Error estimation System of Fredholm integral equations
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 17 Haziran 2019 |
Gönderilme Tarihi | 23 Kasım 2018 |
Kabul Tarihi | 1 Mart 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 2 Sayı: 1 |