A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra–Fredholm integral equations
作者：
Highlights：
• An accurate method is developed for Volterra-Fredholm integral equations.
• To design the method, a new shifted piecewise cosine basis functions are presented.
• The operational matrix of integration for this basis is provided.
• The error analysis of the proposed method is derived.
• This method is accurate than the twelve other methods given in the literature.
摘要
•An accurate method is developed for Volterra-Fredholm integral equations.•To design the method, a new shifted piecewise cosine basis functions are presented.•The operational matrix of integration for this basis is provided.•The error analysis of the proposed method is derived.•This method is accurate than the twelve other methods given in the literature.
论文关键词：Volterra–Fredholm integral equations,Piecewise cosine basis,Nonlinear equations
论文评审过程：Received 6 March 2019, Revised 24 September 2019, Accepted 9 November 2019, Available online 2 December 2019, Version of Record 13 December 2019.
论文官网地址：https://doi.org/10.1016/j.amc.2019.124915
