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International Journal of Numerical Methods and Applications

International Journal of Numerical Methods and Applications
Volume 16, Issue 2, Pages 95 - 106 (June 2017)
http://dx.doi.org/10.17654/NM016020095

STABILITY ANALYSIS FOR THE ENERGY PRESERVING FINITE DIFFERENCE SCHEME FOR ALLEN-CAHN EQUATION AND SOME REMARKS ON THE RELATIONSHIP OF THE ENERGY PRESERVING FINITE DIFFERENCE SCHEME AND FINITE ELEMENT SCHEME

Takanori Ide

Abstract:

The stability condition of energy preserving finite difference scheme for Allen-Cahn equation by means of the discrete variational derivative is presented. In addition, the relationship between energy preserving finite difference scheme and energy preserving finite element scheme for Allen-Cahn equation is discussed.

Keywords and phrases:

stability analysis, Allen-Cahn equation, finite difference scheme.

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