Modified Strang splitting for semilinear parabolic problems

  • Nakano Kosuke
    Department of Applied Physics, Graduate School of Engineering, Nagoya University
  • Kemmochi Tomoya
    Department of Applied Physics, Graduate School of Engineering, Nagoya University
  • Miyatake Yuto
    Cybermedia Center, Osaka University
  • Sogabe Tomohiro
    Department of Applied Physics, Graduate School of Engineering, Nagoya University
  • Zhang Shao-Liang
    Department of Applied Physics, Graduate School of Engineering, Nagoya University

Description

<p> We consider applying the Strang splitting to semilinear parabolic problems. The key ingredients of the Strang splitting are the decomposition of the equation into several parts and the computation of approximate solutions by combining the time evolution of each split equation. However, when the Dirichlet boundary condition is imposed, order reduction could occur due to the incompatibility of the split equations with the boundary condition. In this paper, to overcome the order reduction, a modified Strang splitting procedure is presented for the one-dimensional semilinear parabolic equation with first-order spatial derivatives, like the Burgers equation. </p>

Journal

  • JSIAM Letters

    JSIAM Letters 11 (0), 77-80, 2019

    The Japan Society for Industrial and Applied Mathematics

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