Superconvergent methods based on quasi-interpolating operators for fredholm integral equations of the second kind.
作者：
Highlights：
• New superconvergent degenerate kernel method, based on quasi-interpolants, for solving Fredholm integral equations of the second kind.
• New superconvergent Nyström method, based on quasi-interpolants, for solving Fredholm integral equations of the second kind.
• Nyström method based on quadratic and cubic QIs for Fredholm integral equations with Green’s function type kernel.
• These methods are useful for preserving the smoothness of the exact solution.
• These methods are more accurate then the classical Nyström and degenerate kernel methods.
摘要
•New superconvergent degenerate kernel method, based on quasi-interpolants, for solving Fredholm integral equations of the second kind.•New superconvergent Nyström method, based on quasi-interpolants, for solving Fredholm integral equations of the second kind.•Nyström method based on quadratic and cubic QIs for Fredholm integral equations with Green’s function type kernel.•These methods are useful for preserving the smoothness of the exact solution.•These methods are more accurate then the classical Nyström and degenerate kernel methods.
论文关键词：Fredholm integral equation,Quasi-interpolating spline,Nyström method,Degenerate kernel method,Superconvergence
论文评审过程：Received 3 December 2020, Revised 18 March 2021, Accepted 21 March 2021, Available online 5 April 2021, Version of Record 5 April 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126227
