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A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2021-01-07 , DOI: 10.1007/s00009-020-01693-2
Muhammet Enes Durmaz , Gabil M. Amiraliyev

In this paper, we deal with a fitted second-order homogeneous (non-hybrid) type difference scheme for solving the singularly perturbed linear second-order Fredholm integro-differential equation. The numerical method represents the exponentially fitted scheme on the Shishkin mesh. Numerical example is presented to demonstrate efficiency of proposed method.



中文翻译:

奇摄动Fredholm积分微分方程的鲁棒数值方法

在本文中,我们处理了一个拟合的二阶齐次(非混合)型差分格式,用于求解奇摄动线性二阶Fredholm积分微分方程。数值方法表示在Shishkin网格上的指数拟合方案。数值算例表明了该方法的有效性。

更新日期:2021-01-08
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