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


Yuzbasi S., Sahin N., YILDIRIM A.

MATHEMATICAL AND COMPUTER MODELLING, cilt.55, ss.547-563, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 55
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.08.032
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Sayfa Sayıları: ss.547-563

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.