Bessel polynomial solutions of high-order linear Volterra integro-differential equations

YÜZBAŞI Ş., ŞAHİN N., Sezer M.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.62, sa.4, ss.1940-1956, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2011.06.038
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1940-1956
  • Anahtar Kelimeler: Volterra integral and integro-differential equations, Bessel polynomials and series, Bessel matrix method, Approximation methods, Matrix method, Collocation points, DIFFERENTIAL-DIFFERENCE EQUATIONS, HOMOTOPY PERTURBATION METHOD, NUMERICAL-SOLUTION, SOLVING FREDHOLM, INTEGRAL-EQUATIONS, TAYLOR, APPROXIMATIONS, SYSTEMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, a practical matrix method, which is based on collocation points, is presented to find approximate solutions of high-order linear Volterra integro-differential equations (VIDEs) 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 the existing results. The results show the efficiency and accuracy of the present work. All of the numerical computations have been performed on the computer using a program written in MATLAB v7.6.0 (R2008a). (C) 2011 Elsevier Ltd. All rights reserved.