| 四阶常微分方程的Birkhoff配点法 |
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| 引用本文： | 庄清渠,王金平. 四阶常微分方程的Birkhoff配点法[J]. 华侨大学学报(自然科学版), 2018, 0(2): 306-311. DOI: 10.11830/ISSN.1000-5013.201707005 |
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| 作者姓名： | 庄清渠 王金平 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 摘 要： | 提出求解四阶常微分方程的Birkhoff配点法.通过构造满足边界条件的Birkhoff插值基函数,得到具有稳定条件数的代数方程组.在数值算例中,通过与一类Legendre 配点法的数值结果进行比较.结果表明:Birkhoff配点法的有效性和高精度.
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| 关 键 词： | 四阶常微分方程 Birkhoff配点法 Legendre配点法 代数方程组 |
Birkhoff Collocation Method for Fourth-Order Ordinary Differential Equations |
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| ZHUANG Qingqu,WANG Jinping. Birkhoff Collocation Method for Fourth-Order Ordinary Differential Equations[J]. Journal of Huaqiao University(Natural Science), 2018, 0(2): 306-311. DOI: 10.11830/ISSN.1000-5013.201707005 |
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| Authors: | ZHUANG Qingqu WANG Jinping |
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| Affiliation: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | The paper presents a Birkhoff collocation method for solving the fourth-order differential equation. The Birkhoff interpolation basis functions satisfying the boundary conditions are constructed, which leads to algebraic equations with stable condition numbers. Numerical results indicate that the Birkhoff collocation method is of high accuracy and effectiveness comparing with a kind of Legendre collocation method. |
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| Keywords: | fourth-order ordinary differential equation Birkhoff collocation method Legendre collocation method algebraic equation |
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