边界层积分-微分方程的参数一致二阶数值逼近

IF 0.7 Q2 MATHEMATICS

Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI:10.31801/cfsuasmas.1072728

M. Durmaz, M. Çakir, Gabil Ami̇rali̇

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摘要

本文处理了一个涉及边界层的Fredholm积分微分方程。利用插值求积分规则和指数基函数在均匀网格上建立了二阶拟合差分格式。分析了该方法的稳定性和收敛性，并通过实例说明了该方法的优越性。

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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 technique are analyzed and one example is solved to display the advantages of the presented technique.

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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics MATHEMATICS-

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