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), cilt.5, sa.1, ss.446-464, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.37256/cm.5120243020
  • Dergi Adı: Contemporary Mathematics (Singapore)
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.446-464
  • Anahtar Kelimeler: boundary layer, numerical solution, singularly perturbed problem, uniform convergence
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.