| 两点边值问题的Legendre-Galerkin谱方法 |
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| 引用本文： | 李刚,高金梅.两点边值问题的Legendre-Galerkin谱方法[J].青岛大学学报(自然科学版),2007,20(1):34-37. |
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| 作者姓名： | 李刚 高金梅 |
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| 作者单位： | 青岛大学,数学科学学院,山东,青岛,266071 |
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| 摘 要： | 用Legendre—Galerkin谱方法求具有齐次边界条件的Helmholtz方程的数值解。为提高该方法的效率，构造了适当的基函数。该基函数使得离散变分方程产生稀疏的线性系统，从而可以高效率地迭代求解。最后，数值试验表明该方法可以提高算法的效率和稳定性。
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| 关 键 词： | 谱方法 Legendre多项式 Galerkin方法 |
| 文章编号： | 1006-1037（2007）01-0034-04 |
| 收稿时间： | 2006-09-16 |
| 修稿时间： | 2006-09-16 |
Legendre-Galerkin Spectral Method for the Two Point Boundary Problem |
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| LI Gang,GAO Jin-mei.Legendre-Galerkin Spectral Method for the Two Point Boundary Problem[J].Journal of Qingdao University(Natural Science Edition),2007,20(1):34-37. |
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| Authors: | LI Gang GAO Jin-mei |
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| Institution: | College of Mathematics Science, Qingdao University, Qingdao 266071, China |
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| Abstract: | In this paper, we present Legendre - Galerkin spectral method for the two point boundary problem of the Helmholtz equation. In order to improve the fficiency, we construct appropriate base functions, which can lead to a sparse linear system for the discrete variational formulation. In the end, numerical experiment demonstrates that this method can enhance the efficiency and stability. |
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| Keywords: | spectral method legendre polynomial galerkin method |
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