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线性常微分方程组多点边值问题的插值矩阵法
引用本文:牛忠荣.线性常微分方程组多点边值问题的插值矩阵法[J].合肥工业大学学报(自然科学版),1996(1).
作者姓名:牛忠荣
摘    要:本文构造了插值矩阵法求解线性混合阶常微分方程组多点边值问题的基本理论,并制作了该法的ODE求解器IVMODE,演示了数值实验。

关 键 词:多点边值问题,高阶ODES  插值矩阵法

INTERPOLATING MATRIX METHOD FOR LINEAR MULTIPOINT BOUNDARY VALUE PROBLEMS OF ODES
Niu Zhongrong.INTERPOLATING MATRIX METHOD FOR LINEAR MULTIPOINT BOUNDARY VALUE PROBLEMS OF ODES[J].Journal of Hefei University of Technology(Natural Science),1996(1).
Authors:Niu Zhongrong
Institution:Niu Zhongrong
Abstract:This paper constructs the fundamental theory of interpolating matrix method for solving mixed order systems of linear multipoint boundary value problems of ODEs. A general purpose solver NOLODE of ODEs is written hased on this knowledge, and a numerical test is presented.
Keywords:multipoint boundary value problems  high order ODEs  interpolating matrix method
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