eng
Science and Education Publishing
Applied Mathematics and Physics
2014-02-28
2
2
40
48
10.12691/amp-2-2-3
AMP2014223
article
A New Approximation Method for the Systems of Nonlinear Fredholm Integral Equations
Salih Yalçınbaş
salih.yalcinbas@cbu.edu.tr
1
Kübra Erdem
1
Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, Manisa, Turkey
In this paper, we present a new approximate method for solving systems of nonlinear Fredholm integral equation. This method is based on, first, differentiating both sides of integral equations n times and then substituting the Taylor series the unknown functions in the resulting equation and later, transforming to a matrix equation. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Numerical results and comparisons with the exact solution are included to demostrate the validity and applicability of the technique.
http://pubs.sciepub.com/amp/2/2/3/amp-2-2-3.pdf
nonlinear Fredholm systems
Taylor polynomials and series