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, vol.404, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 404
  • Publication Date: 2022
  • Doi Number: 10.1016/j.cam.2021.113894
  • Journal Name: Journal of Computational and Applied Mathematics
  • Journal Indexes: 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
  • Keywords: Finite difference scheme, Integral boundary condition, Parameterized problem, Shishkin mesh, Singular perturbation, Uniform convergence
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

© 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.