Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method

Sezer, Mehmet; Gülsu, Mustafa

doi:https://doi.org/10.1155/IJMMS/2006/46376

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 046376 | https://doi.org/10.1155/IJMMS/2006/46376

Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method

Mehmet Sezer¹and Mustafa Gülsu¹

Received03 Feb 2005

Revised28 Mar 2006

Accepted11 May 2006

Published06 Jul 2006

Abstract

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 discussed.

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Copyright

Copyright © 2006 Hindawi Publishing Corporation. 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.

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