Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation
نویسندگان
چکیده
منابع مشابه
On the maximum principle preserving schemes for the generalized Allen-Cahn Equation
This paper is concerned with the generalized Allen-Cahn equation with a nonlinear mobility that can degenerate, which also includes an advection term as found in phase-field models. A class of maximum principle preserving schemes will be studied for the generalized Allen-Cahn equation, with either the commonly used polynomial free energy or the logarithmic free energy, and with a nonlinear dege...
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It is known that the Allen-Chan equations satisfy the maximum principle. Is this true for numerical schemes? To the best of our knowledge, the state-of-art stability framework is the nonlinear energy stability which has been studied extensively for the phase field type equations. In this work, we will show that a stronger stability under the infinity norm can be established for the implicit-exp...
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ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2020
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-020-09782-2