Barycentric interpolation collocation method based on Crank-Nicolson scheme for the Allen-Cahn equation
Author:
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
General Mathematics
Reference21 articles.
1. S. M. Allen, J. W. Cahn, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta Metall., 27 (1979), 1085-1095.
2. A. A. Wheeler, W. J. Boettinger, G. B. McFadden, Phase-field model for isothermal phase transitions in binary alloys, Phys. Rev. A., 45 (1992), 7424-7439.
3. M. Beneŝ, V. Chalupecky, K. Mikula, Geometrical image segmentation by the Allen-Cahn equation, Appl. Numer. Math., 51 (2004), 187-205.
4. X. B. Feng, A. Prohl, Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flaws, Numer. Math., 94 (2003), 33-65.
5. D. S. Cohen, J. D. Murray, A generalized diffusion model for growth and dispersal in a population, J. Math. Biol., 12 (1981), 237-249.
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