Hajipour, MojtabaBaleanu, DumitruAmiri, Sadegh2021-01-292025-09-182021-01-292025-09-182020Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru (2020). "On accurate solution of the Fredholm integral equations of the second kind", Applied Numerical Mathematics, Vol. 150, pp. 478-490.0168-92741873-5460https://doi.org/10.1016/j.apnum.2019.10.017https://hdl.handle.net/20.500.12416/13116Amiri, Sadegh/0000-0002-3910-5497; Hajipour, Mojtaba/0000-0002-7223-9577In this paper, an accurate numerical method based on the cosine-trigonometric basis functions is developed to solve the Fredholm integral equations of the second kind. By using the proposed method, the presented equation is converted into a system of algebraic equations. The convergence analysis of the proposed method is also investigated. To demonstrate the efficiency of the proposed method, the numerical simulations of various types of one- and two-dimensional examples are prepared. Comparative results show that this method is accurate than the other existing methods in the literature. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessFredholm Integral EquationsTrigonometric Basis FunctionsAccurate MethodArticle10.1016/j.apnum.2019.10.0172-s2.0-85074487702