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Browsing by Author "Amiri, Sadegh"

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    Citation - WoS: 17
    Citation - Scopus: 20
    A Spectral Collocation Method With Piecewise Trigonometric Basis Functions for Nonlinear Volterra–Fredholm İntegral Equations
    (Elsevier Science inc, 2020) Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru; 56389; Matematik
    The 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. (C) 2019 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 18
    Citation - Scopus: 24
    On accurate solution of the Fredholm integral equations of the second kind
    (Elsevier, 2020) Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru; 56389; Matematik
    In 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.