A Fast and Efficient Numerical Algorithm for the Nonlocal Conservative Swift–Hohenberg Equation

Jingying Wang and Shuying Zhai

Mathematical Problems in Engineering, 2020, vol. 2020, 1-9

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7012483

DOI: 10.1155/2020/7012483

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