Application of Fibonacci collocation method for solving Volterra–Fredholm integral equations

Farshid Mirzaee and Seyede Fatemeh Hoseini

Applied Mathematics and Computation, 2016, vol. 273, issue C, 637-644

Abstract: In this paper, a new matrix method based on Fibonacci polynomials and collocation points is proposed for numerically solving the Volterra–Fredholm integral equations. In fact, the approximate solution of the problem in the truncated Fibonacci series form is obtained by this method. Also, convergence analysis of the proposed method is provided under several mild conditions. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.

Keywords: Volterra–Fredholm integral equation; Fibonacci collocation method; Error estimate (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:637-644

DOI: 10.1016/j.amc.2015.10.035

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