A Fast and Efficient Numerical Algorithm for the Nonlocal Conservative Swift–Hohenberg Equation. (6th January 2020)

• Record Type: Journal Article
• Authors: Wang, Jingying; Zhai, Shuying
• Other Names: Sevilla Ruben Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-01-06
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/7012483
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, we consider a new Swift–Hohenberg equation, where the total mass of this model is conserved through a nonlocal Lagrange multiplier. Based on the operator splitting method and spectral method, a fast and efficient numerical algorithm is proposed. Three numerical examples in both two and three dimensions are provided to illustrate that the proposed algorithm is a practical, accurate, and efficient simulation tool for the nonlocal Swift–Hohenberg equation.