In this paper, we discuss a two-grid iterative method for solving a class of Fredholm functional integral equations based on the radial basis function interpolation. Firstly, the existence and uniqueness of the solution are proved by Banach fixed point theorem. Secondly, the algorithm and convergence analysis of the radial basis function approximation method is given on the coarse grid. Thirdly, the fine grid iterative solution and convergence results are obtained. Finally, the validity and reliability of the theoretical analysis are verified by two numerical experiments.
Fredholm functional integral equations The radial basis function interpolation Two-grid iterative method
Postgraduate Demonstration Course Construction Project of Guangdong Province
2018SFKC38
2018SFKC38
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Proje Numarası | 2018SFKC38 |
Yayımlanma Tarihi | 20 Aralık 2019 |
Gönderilme Tarihi | 16 Ekim 2019 |
Kabul Tarihi | 8 Aralık 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 2 Sayı: 2 |