Numerical solution of nth-order integro-differential equations using trigonometric wavelets

Lakestanı M., Jokar M., Dehghan M.

Mathematical Methods in the Applied Sciences, vol.34, no.11, pp.1317-1329, 2011 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 11
  • Publication Date: 2011
  • Doi Number: 10.1002/mma.1439
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1317-1329
  • Keywords: Hermite interpolation, integro-differential equations, operational matrix of derivative, trigonometric wavelets
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

The main aim of this paper is to apply the trigonometric wavelets for the solution of the Fredholm integro-differential equations of nth-order. The operational matrices of derivative for trigonometric scaling functions and wavelets are presented and are utilized to reduce the solution of the Fredholm integro-differential equations to the solution of algebraic equations. Furthermore, we get an estimation of error bound for this method. Copyright © 2011 John Wiley & Sons, Ltd.