Uniform difference method for singularly perturbed Volterra integro-differential equations

AMIRALIYEV G. M., Sevgin S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.179, sa.2, ss.731-741, 2006 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 179 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.11.155
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.731-741
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Singularly perturbed Volterra integro-differential equations is considered. An exponentially fitted difference scheme is constructed in a uniform mesh which gives first order uniform convergence in the discrete maximum norm. Numerical experiments support the theoretical results. (c) 2006 Elsevier Inc. All rights reserved.

Singularly perturbed Volterra integro-differential equations is considered. An exponentially fitted difference scheme is constructed in a uniform mesh which gives first order uniform convergence in the discrete maximum norm. Numerical experiments support the theoretical results.