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

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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… Click to show full 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.

Keywords: efficient numerical; hohenberg equation; fast efficient; swift hohenberg

Journal Title: Mathematical Problems in Engineering
Year Published: 2020

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