Amiri, SadeghHajipour, MojtabaBaleanu, Dumitru2020-05-062020-05-062020Amiri, S.; Hajipour, M.; Baleanu, D.,"A Spectral Collocation Method With Piecewise Trigonometric Basis Functions for Nonlinear Volterra–Fredholm İntegral Equations", Applied Mathematics and Computation, Vol. 370, (2020).963003http://hdl.handle.net/20.500.12416/3627The aim of this paper is to investigate an efficient numerical method based on a novel shifted piecewise cosine basis for solving Volterra–Fredholm integral equations of the second kind. Using operational matrices of integration for the proposed basis functions, this integral equation is transformed into a system of nonlinear algebraic equations. The convergence and error analysis of the proposed method are studied. Some comparative results are provided to verify the efficiency of the presented method.eninfo:eu-repo/semantics/closedAccessNonlinear EquationsPiecewise Cosine BasisVolterra–Fredholm Integral EquationsArticle37010.1016/j.amc.2019.124915