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

Zelal Temel, M. Çakir
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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 problemsolving approach behave. Finally, a numerical technique that employs a finite difference scheme is built using a nonuniform mesh.
带积分边界条件的奇异扰动半线性问题的稳健数值方法
在本研究中,我们提供了一种高效的数值方法,用于求解具有两个积分边界条件的奇异扰动非线性常微分方程。我们特别提出了一种求解具有积分边界条件的非线性奇异扰动问题的数值方法。为了解决非线性奇异扰动问题,我们还应用了有限差分方法。它探讨了特定导数和解决问题的方法是如何表现的。最后,使用非均匀网格建立了一种采用有限差分方案的数值技术。
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