用sinc配点法求解具有非局部边界条件的抛物型偏微分方程

M. El-Gamel, M. El-Hady
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引用次数: 0

摘要

本文提出了一种基于sinc节点sinc近似的求解非局部边界条件抛物型偏微分方程的简单方法。Sinc近似的典型误差形式为O (e - k/h),其中k > 0是一个常数,h是一个步长。算例表明了该方法的有效性和精度。该方法灵活、易于编程、效率高。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On using sinc collocation approach for solving a parabolic PDE with nonlocal boundary conditions
This work suggests a simple method based on a sinc approximation at sinc nodes for solving parabolic partial differential equations with nonlocal boundary conditions. Sinc approximation are typified by errors of the form O ( e−k/h ) , where k > 0 is a constant and h is a step size. Some numerical examples are utilized to reveal the efficaciousness and precision of this method. The suggested method is flexible, easy to programme and efficient.
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