A second order accurate method for a parameterized singularly perturbed problem with integral boundary condition

KUDU M., Amirali I., AMİRALİ G.

Journal of Computational and Applied Mathematics, cilt.404, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 404
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.cam.2021.113894
  • Dergi Adı: Journal of Computational and Applied 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, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Parameterized problem, Singular perturbation, Uniform convergence, Finite difference scheme, Shishkin mesh, Integral boundary condition
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

© 2021 Elsevier B.V.In this paper, we consider a class of parameterized singularly perturbed problems with integral boundary condition. A finite difference scheme of hybrid type with an appropriate Shishkin mesh is suggested to solve the problem. We prove that the method is of almost second order convergent in the discrete maximum norm. Numerical results are presented, which illustrate the theoretical results.