A collocation approach for solving high-order linear Fredholm-Volterra integro-differential equations

YÜZBAŞI Ş., Sahin N., YILDIRIM A.

MATHEMATICAL AND COMPUTER MODELLING, cilt.55, sa.3-4, ss.547-563, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 3-4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.08.032
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.547-563
  • Anahtar Kelimeler: Fredholm-Volterra integro-differential equations, Bessel polynomials and series, Bessel collocation method, Collocation points, HOMOTOPY PERTURBATION METHOD, NUMERICAL-SOLUTION, PERISTALTIC FLOW, FLUID
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, a collocation method based on the Bessel polynomials is introduced for the approximate solutions of high-order linear Fredholm-Volterra integro-differential equations (FVIDEs) under mixed conditions. In addition, the method is presented with error and stability analysis. Numerical examples are included to demonstrate the validity and applicability of the technique and comparisons are made with the existing results. (C) 2011 Elsevier Ltd. All rights reserved.