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A Finite Volume Unstructured Mesh Method for Fractional-in-space Allen-Cahn Equation

作者:CHEN; Ai-min; LIU; Fa-wangequationfinitevolumemethodmatrixtransfertechniquepreconditionedlanczos

摘要:Fractional-in-space Allen-Cahn equation containing a very strong nonlinearsource term and small perturbation shows metastability and a quartic double well potential.Using a finite volume unstructured triangular mesh method, the present paper solves the two-dimensional fractional-in-space Allem-Cahn equation with homogeneous Neumann boundarycondition on different irregular domains. The efficiency of the method is presented throughnumerical computation of the two-dimensional fractional-in-space Allen-Cahn equation ondifferent domains.

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