Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers

Year 2022, Volume: 71 Issue: 4, 954 - 967, 30.12.2022

Muhammet Enes Durmaz , Musa Çakır , Gabil Amirali

https://doi.org/10.31801/cfsuasmas.1072728

Cited By: 7

Abstract

The work handles a Fredholm integro-differential equation involving boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.

Keywords

Finite difference method, Fredholm integro-differential equation, singular perturbation, uniform convergence

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