Title
A Fast Solver Of Legendre-Laguerre Spectral Element Method For The Camassa-Holm Equation
Abstract
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.
Year
DOI
Venue
2021
10.1007/s11075-020-01028-y
NUMERICAL ALGORITHMS
Keywords
DocType
Volume
Legendre-Laguerre spectral element method, The Camassa-Holm equation, Diagonalization technique, Numerical results
Journal
88
Issue
ISSN
Citations 
1
1017-1398
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Xu-Hong Yu1103.29
Xueqin Ye200.34
Zhong-qing Wang314020.28