两点边值问题的Legendre-Galerkin谱方法  

Legendre-Galerkin Spectral Method for the Two Point Boundary Problem

作　　者：李刚[1] 高金梅[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《青岛大学学报（自然科学版）》2007年第1期34-37,共4页Journal of Qingdao University(Natural Science Edition)

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。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.

关 键 词：谱方法 LEGENDRE多项式 GALERKIN方法 

分 类 号：O241.82[理学—计算数学]