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


Yüzbaşi Ş., Şahin N. , YILDIRIM A.

Mathematical and Computer Modelling, vol.55, pp.547-563, 2012 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 55
  • Publication Date: 2012
  • Doi Number: 10.1016/j.mcm.2011.08.032
  • Title of Journal : Mathematical and Computer Modelling
  • Page Numbers: pp.547-563

Abstract

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. © 2011 Elsevier Ltd.