Numerical method for a neutral delay differential problem


Çimen E. , Ekinci Y.

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, vol.12, no.1, pp.1-11, 2017 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 1
  • Publication Date: 2017
  • Title of Journal : INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
  • Page Numbers: pp.1-11

Abstract

In this paper, the initial-value problem for a linear first order neutral delay differential equation is considered. To solve this problem numerically, we construct a fitted difference scheme on a uniform mesh which is succeeded by the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with weight and remainder term in integral form. Also, the method is first-order convergent in the discrete maximum norm. Furthermore, numerical illustrations provide support of the theoretical results.