A Robust Numerical Method for a Singularly Perturbed Semilinear Problem with Integral Boundary Conditions

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Temel Z., Çakır M.

Contemporary Mathematics (Singapore), vol.5, no.1, pp.446-464, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.37256/cm.5120243020
  • Journal Name: Contemporary Mathematics (Singapore)
  • Journal Indexes: Scopus
  • Page Numbers: pp.446-464
  • Keywords: boundary layer, numerical solution, singularly perturbed problem, uniform convergence
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In the present study, we provide an efficient numerical approach for solving singularly perturbed nonlinear ordinary differential equations with two integral boundary conditions. We specifically propose a numerical approach for the solution of a nonlinear singular perturbed problem with integral boundary conditions. To solve the nonlinear singularly perturbed issue, we also apply finite difference methods. It explores how a specific derivative and a problem-solving approach behave. Finally, a numerical technique that employs a finite difference scheme is built using a nonuniform mesh.