Numerical method for a neutral delay differential problem

Çimen E., Ekinci Y.

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, cilt.12, sa.1, ss.1-11, 2017 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2017
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1-11
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.