Open AccessA Fibonacci collocation method for solving a class of Fredholm–Volterra integral equations in two-dimensional spaces
Author(s) -
Farshid Mirzaee,
Seyede Fatemeh Hoseini
Publication year - 2014
Publication title -
beni-seuf university journal of basic and applied sciences /beni-suef university journal of basic and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2314-8543
pISSN - 2314-8535
DOI - 10.1016/j.bjbas.2014.05.010
Subject(s) - integral equation , volterra integral equation , collocation method , mathematics , uniqueness , algebraic equation , fredholm integral equation , simple (philosophy) , nyström method , class (philosophy) , fredholm theory , mathematical analysis , nonlinear system , computer science , differential equation , ordinary differential equation , philosophy , physics , epistemology , quantum mechanics , artificial intelligence
In 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