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Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian

  • Published:2021-08 Issue: Volume:99 Page:105786
  • ISSN:1007-5704
  • Container-title:Communications in Nonlinear Science and Numerical Simulation
  • language:en
  • Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Hu Dongdong,Cai WenjunORCID,Fu Yayun,Wang Yushun

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference69 articles.

1. Towards an efficient finite element method for the integral fractional Laplacian on polygonal domains;Ainsworth,2018

2. A fractional laplace equation: regularity of solutions and finite element approximations;Acosta;SIAM J Numer Anal,2017

3. Numerical study of a fractional sine-Gordon equation;Alfimov;Fract Differ Appl,2004

4. On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation;Akrivis;Numer Math,1991

5. Numerical approximation of the integral fractional Laplacian;Bonito;Numer Math,2019

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