A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening

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Finite difference/spectral approximations for the time-fractional diffusion equation

Yumin Lin, Chuanju Xu · Journal of Computational Physics · 2007 · 1.8K citations

Natural Sciences, Mathematics, Physics +14

A fully discrete difference scheme for a diffusion-wave system

Zhi‐zhong Sun, Xiaonan Wu · Applied Numerical Mathematics · 2005 · 1.2K citations

Engineering, Computational Engineering, Mathematics +13

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

Jie Shen, Xiaofeng Yang · Discrete and Continuous Dynamical Systems · 2010 · 954 citations · Full text

Computing, Computational Engineering, Computational Mechanics +15

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

Martin Stynes, Eugene O’Riordan, J.L. Gracia · SIAM Journal on Numerical Analysis · 2017 · 939 citations · Full text

Computing, Computational Engineering, Computational Mechanics +16