International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 46376, 15 pages
Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method
Department of Mathematics, Faculty of Science, Mugla University, Mugla 48000, Turkey
Received 3 February 2005; Revised 28 March 2006; Accepted 11 May 2006
Copyright © 2006 Mehmet Sezer and Mustafa Gülsu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A Taylor matrix method is developed to find an approximate
solution of the most general linear Fredholm
integrodifferential-difference equations with variable
coefficients under the mixed conditions in terms of Taylor
polynomials. This method transforms the given general linear
Fredholm integrodifferential-difference equations and the mixed
conditions to matrix equations with unknown Taylor coefficients.
By means of the obtained matrix equations, the Taylor coefficients
can be easily computed. Hence, the finite Taylor series approach
is obtained. Also, examples are presented and the results are