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Numerical integration method for general singularly perturbed two point boundary value problems
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DOI：10.1016/S0096-3003(01)00246-6.png)
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摘要
En 中文
In this paper, a numerical integration method is presented for solving general singularly perturbed two-point boundary value problems. The original second-order differential equation is replaced by an approximate first-order differential equation with a small deviating argument. Then, the trapezoidal formula is used to obtain the three-term recurrence relationship. The proposed method is iterative on the deviating argument. To demonstrate the applicability of the method, we have solved several model linear and non-linear examples with left-end boundary layer or right-end boundary layer or an internal layer or two boundary layers and presented the computational results. (C) 2002 Elsevier Science Inc. All rights reserved.
Keyword:
singular perturbations
ordinary differential equations
two point boundary value problems
boundary layer
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期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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