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Recurrence Method for Solving Singularly Perturbed Boundary Value Problems

被引：1
|
作者：
Lin, B. [1 ]
Li, K.
Cheng, Z.
机构：
[1] Zhanjiang Normal Univ, Sch Informat Sci & Technol, Zhanjiang 524048, Peoples R China
来源：
STUDIES IN APPLIED MATHEMATICS | 2010年 / 125卷 / 04期
关键词：
LAYER PROBLEM; EQUATION;
D O I：
10.1111/j.1467-9590.2010.00489.x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We base on Taylor series expansions to construct the numerical method for solving singularly perturbed boundary value problems. We use the trapezoid method to approximate the integrals and obtain three-term recurrence relationship. The efficiency of the proposed method is demonstrated by test problems. The numerical result is found in a good agreement with exact solution.
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页码：331 / 342
页数：12
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