| 两点边值问题的一种高精度差分方法 |
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| 引用本文： | 田振夫.两点边值问题的一种高精度差分方法[J].贵州大学学报(自然科学版),1997,14(1):19-23. |
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| 作者姓名： | 田振夫 |
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| 作者单位： | 宁夏大学应用数学研究所!银川，750021 |
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| 摘 要： | 基于经典中心差分公式，诉诸差分余项反向修正，本文提出了一种求解两点边值问题的高精度差分方法。该方法仅涉及相邻网格点，具有四阶段精度。数值算例表明，本文格式较以往的格式具有更高的精度。
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| 关 键 词： | 边值问题 两点边值问题 差分法 数值解 |
A High-Order Finite Difference Method for Solving Two-Point Boundary Value Problem |
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| Tian Zhenfu.A High-Order Finite Difference Method for Solving Two-Point Boundary Value Problem[J].Journal of Guizhou University(Natural Science),1997,14(1):19-23. |
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| Authors: | Tian Zhenfu |
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| Abstract: | Based on the central difference formulas for first and second deriva-tive, a fourth -order finite difference method is developed for solving two -point boundary value problem in this paper. Numerical tests show that the present scheme gives better results than the existing ones. |
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| Keywords: | Boundary value problem High order accuracy Finite-differdnce method |
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