Differential transform method for solving singularly perturbed volterra integral equations

Doĝan N., Ertürk V. S., Momani S., Akin Ö., YILDIRIM A.

Journal of King Saud University - Science, vol.23, no.2, pp.223-228, 2011 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.1016/j.jksus.2010.07.013
  • Journal Name: Journal of King Saud University - Science
  • Journal Indexes: Scopus
  • Page Numbers: pp.223-228
  • Keywords: Differential transform method, Singularly perturbed problems, Volterra integral equations
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this work, the applications of differential transform method were extended to singularly perturbed Volterra integral equations. To show the efficiency of the method, some singularly perturbed Volterra integral equations are solved as numerical examples. Numerical results show that the differential transform method is very effective and convenient for solving a large number of singularly perturbed problems with high accuracy. © 2010.