| 两点边值问题的插值矩阵法及误差分析 |
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| 引用本文： | 牛忠荣. 两点边值问题的插值矩阵法及误差分析[J]. 合肥工业大学学报(自然科学版), 1993, 0(1) |
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| 作者姓名： | 牛忠荣 |
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| 摘 要： | 插值矩阵法是求解两点边值问题的数值法。本文研究该法的误差分析,论证了用插值矩阵法解得的y(x),y′(x),y″(x),…,有相同的精度,并对一类二阶方程,给出该法的稳定性证明和收敛阶。
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| 关 键 词： | 两点边值问题 数值解 插值矩阵法 误差分析 |
INTERPOLATING MATRIX METHOD FOR TWO-POINT BVPS AND ITS ERROR ANALYSIS |
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| Niu Zhongrong. INTERPOLATING MATRIX METHOD FOR TWO-POINT BVPS AND ITS ERROR ANALYSIS[J]. Journal of Hefei University of Technology(Natural Science), 1993, 0(1) |
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| Authors: | Niu Zhongrong |
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| Affiliation: | Niu Zhongrong |
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| Abstract: | Interpolating matrix method is a numerical method for solving two-point boundary value problems. This paper investigates the error analysis of the method,proving the same precision for the solutionsy Y(x) ,y' (x) ,... ,y(r)(x) obtained by the method. We provide the convergence order estimate and good stability property of the method for a kind of second order scalar equations. |
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| Keywords: | two-point BVP numerical solution interpolating matrix method error analysis |
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