A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh

Gunes B., Duru H.

International Journal of Computer Mathematics, cilt.100, sa.8, ss.1667-1682, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 100 Sayı: 8
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/00207160.2023.2208681
  • Dergi Adı: International Journal of Computer Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1667-1682
  • Anahtar Kelimeler: Delay differential equation, difference scheme, error estimate, pseudo-parabolic problem, singular perturbation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper aims to establish the finite difference scheme on Bakhvalov-type mesh for the singularly perturbed pseudo-parabolic problems with time-delay. Using the energy estimates, the bounds of the solution are investigated. An error analysis is derived in the discrete energy norm and the almost second order convergence is obtained. The reliability of the suggested method is displayed by means of a numerical example.