Numerical Solutions of Systems of High-Order Linear Differential-Difference Equations with Bessel Polynomial Bases

YÜZBAŞI Ş., Sahin N., YILDIRIM A.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, cilt.66, sa.8-9, ss.519-532, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 66 Sayı: 8-9
  • Basım Tarihi: 2011
  • Doi Numarası: 10.5560/zna.2011-0015
  • Dergi Adı: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.519-532
  • Anahtar Kelimeler: System of Differential-Difference Equations, Bessel Polynomials and Series, Bessel Polynomial Solutions, Bessel Matrix Method, Collocation Points, FREDHOLM INTEGRODIFFERENTIAL EQUATIONS, ADOMIAN DECOMPOSITION METHOD, HOMOTOPY PERTURBATION METHOD, HAAR FUNCTIONS METHOD, VARIABLE-COEFFICIENTS, INTEGRAL-EQUATIONS, SOLVING SYSTEMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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).