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 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 55
  • Publication Date: 2012
  • Doi Number: 10.1016/j.mcm.2011.08.032
  • Journal Name: Mathematical and Computer Modelling
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.547-563
  • Ankara Yıldırım Beyazıt University Affiliated: No

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.