A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation

被引：5
|
作者：
Yu, Xuhong [1 ]
Ye, Xueqin [1 ]
Wang, Zhongqing [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Shanghai 200093, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2021年 / 88卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Legendre-Laguerre spectral element method; The Camassa-Holm equation; Diagonalization technique; Numerical results; FINITE-DIFFERENCE SCHEME; ORTHOGONAL POLYNOMIALS; CONVERGENCE; INTEGRATION;
D O I：
10.1007/s11075-020-01028-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An efficient and accurate Legendre-Laguerre spectral element method for solving the Camassa-Holm equation on the half line is proposed. The spectral element method has the flexibility for arbitrary h and p adaptivity. Two kinds of Sobolev orthogonal basis functions corresponding to each subinterval are constructed, which reduces the non-zero entries of linear systems and computational cost. Numerical experiments illustrate the effectiveness and accuracy of the suggested approach.
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页码：1 / 23
页数：23
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