一类奇摄动边值问题的样条方法

International Journal of Mathematical Research Pub Date : 2013-03-16 DOI:10.18488/journal.24/2013.2.1/24.1.1.10

O. M. Ogunlaran, O. A. Taiwo

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引用次数: 3

摘要

本文给出了一类奇异摄动边值问题的基于非多项式样条函数的均匀网格数值解法。该方法具有二阶和四阶精度。数值算例验证了所提方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Spline Methods for a Class of Singularly Perturbed Boundary Value Problems

In this paper, we develop numerical methods based on a non-polynomial spline function with uniform grid for solving certain class of singularly perturbed boundary value problems. The proposed methods are second-order and fourth-order accurate. Numerical examples are provided to demonstrate the efficiency of the proposed methods.

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International Journal of Mathematical Research

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