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

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

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 techn...

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Veröffentlicht in:Communications Series A1 Mathematics & Statistics 2022-12, Vol.71 (4), p.954-967
Hauptverfasser: DURMAZ, Muhammet Enes, ÇAKIR, Musa, AMİRALİ, Gabil
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creator DURMAZ, Muhammet Enes
ÇAKIR, Musa
AMİRALİ, Gabil
description 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.
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title Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers
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