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A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics Graduate School of Natural and Applied Sciences, Erzincan Binali Yıldırım University, 24100, Erzincan, Turkey

    Muhammet Enes Durmaz

  2. Department of Mathematics Faculty of Arts and Sciences, Erzincan Binali Yıldırım University, 24100, Erzincan, Turkey

    Gabil M. Amiraliyev

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  1. Muhammet Enes Durmaz
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  2. Gabil M. Amiraliyev
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Correspondence to Muhammet Enes Durmaz.

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Durmaz, M.E., Amiraliyev, G.M. A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation. Mediterr. J. Math. 18, 24 (2021). https://doi.org/10.1007/s00009-020-01693-2

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