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

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.