THE FOURTH ORDER RUNGE-KUTTA EXPONENTIAL TIME DIFFERENCE METHOD FOR THE ALLEN-CAHN EQUATION
Journal Title: International scientific journal Science and Innovation - Year 2023, Vol 2, Issue 12
Abstract
In this paper we present a numerical method for solving the Allen-Cahn equation with a corresponding boundary condition. The Allen-Cahn equation is discretized by the Chebyshev spectral method in space. We use the Fourth Order Runge-Kutta Exponential Time Difference method with Fourier's transformation for its diagonalization in time. The numerical results of solution of the Allen-Cahn equation are obtained by using Matlab code.
Authors and Affiliations
T. B. Tilavova
Keywords
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- EP ID EP725767
- DOI 10.5281/zenodo.10279279
- Views 69
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