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

被引：0
作者：
Xuhong Yu
Xueqin Ye
Zhongqing Wang
机构：
[1] University of Shanghai for Science and Technology,
来源：
Numerical Algorithms | 2021年 / 88卷
关键词：
Legendre-Laguerre spectral element method; The Camassa-Holm equation; Diagonalization technique; Numerical results; 65M70; 35Q35; 33C45;
D O I：
暂无
中图分类号：
学科分类号：
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：22
相关论文
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