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Beni-Suef University Journal of Basic and Applied Sciences
Article . 2014 . Peer-reviewed
License: CC BY NC ND
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A Fibonacci collocation method for solving a class of Fredholm–Volterra integral equations in two-dimensional spaces

Authors: Farshid Mirzaee; Seyede Fatemeh Hoseini;

A Fibonacci collocation method for solving a class of Fredholm–Volterra integral equations in two-dimensional spaces

Abstract

AbstractIn this paper, we present a numerical method for solving two-dimensional Fredholm–Volterra integral equations (F-VIE). The method reduces the solution of these integral equations to the solution of a linear system of algebraic equations. The existence and uniqueness of the solution and error analysis of proposed method are discussed. The method is computationally very simple and attractive. Finally, numerical examples illustrate the efficiency and accuracy of the method.

Related Organizations
Keywords

Medicine (General), R5-920, Science, Q, Two-dimensional Fredholm–Volterra integral equations, The Fibonacci polynomials, Collocation method

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Top 10%
Average
gold