An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation

被引：14

作者：

Fu, Yayun ^{[1
]}

Cai, Wenjun ^{[1
]}

Wang, Yushun ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 102卷

基金：

中国国家自然科学基金;

关键词：

Nonlinear fractional wave equation; Hamiltonian system; Explicit energy-preserving scheme; Fourth-order difference formula; NUMERICAL-METHODS; 4TH-ORDER; SCHEME;

D O I：

10.1016/j.aml.2019.106123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a new approach to construct an explicit structure-preserving scheme for the nonlinear fractional wave equation. First, we reformulate the equation as a canonical Hamiltonian system. Then, we utilize the fourth-order fractional centered difference formula to discretize the equation in space direction, and obtain a conservative semi-discrete system. Subsequently, we develop an explicit fully-discrete energy-preserving scheme for the equation by using the proposed approach. Numerical examples are provided to confirm our theoretical analysis in long time computations at last. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：7

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