A Robust Numerical Method for a Singularly Perturbed Semilinear Problem with Integral Boundary Conditions
Contemporary Mathematics (Singapore), cilt.5, sa.1, ss.446-464, 2024 (Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.