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Z. Naturforsch. 66a, 519 – 532 (2011)
doi:10.5560/ZNA.2011-0015
Numerical Solutions of Systems of High-Order Linear Differential-Difference Equations with Bessel Polynomial Bases
Şuayip Yüzbaşı1, Niyazi Şahin1, and Ahmet Yıldırım2
1 Department of Mathematics, Faculty of Science, Muğla University, Muğla, Turkey
2 Department of Mathematics, Faculty of Science, Ege University, İzmir, Turkey
Received January 17, 2011 / revised April 18, 2011
Reprint requests to: A. Y.; E-mail: ahmetyildirim80@gmail.com
In this paper, a numerical matrix method, which is based on collocation points, is presented for the approximate solution of a system of high-order linear differential-difference equations with variable coefficients under the mixed conditions in terms of Bessel polynomials. Numerical examples are included to demonstrate the validity and applicability of the technique and comparisons are made with existing results. The results show the efficiency and accuracy of the present work. All of the numerical computations have been performed on computer using a program written in MATLAB v7.6.0 (R2008a).
Key words: System of Differential-Difference Equations; Bessel Polynomials and Series; Bessel Polynomial Solutions; Bessel Matrix Method; Collocation Points.
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