• Title/Summary/Keyword: Modified Local Crank-Nicolson method

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A NUMERICAL METHOD FOR SOLVING ALLEN-CAHN EQUATION

  • Huang, Pengzhan;Abduwali, Abdurishit
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1477-1487
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    • 2011
  • We propose a numerical method for solving Allen-Cahn equation, in both one-dimensional and two-dimensional cases. The new scheme that is explicit, stable, and easy to compute is obtained and the proposed method provides a straightforward and effective way for nonlinear evolution equations.