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IMEX methods for thin-film equations and Cahn–Hilliard equations with variable mobility
We explore a class of splitting schemes employing implicit-explicit (IMEX) time-stepping to achieve accurate and energy-stable solutions for thin-film equations and Cahn–Hilliard models with variable mobility. These splitting methods incorporate a linear, constant coefficient implicit step, facilitating efficient computational implementation. We investigate the influence of stabilizing splitting parameters on the numerical solution computationally, considering various initial conditions. Furthermore, we generate energy-stability plots for the proposed methods, examining different choices of splitting parameter values and timestep sizes. These methods enhance the accuracy of the original bi-harmonic-modified (BHM) approach, while preserving its energy-decreasing property and achieving second-order accuracy. We present numerical experiments to illustrate the performance of the proposed methods.
Duke Scholars
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Related Subject Headings
- Materials
- 5104 Condensed matter physics
- 4016 Materials engineering
- 0912 Materials Engineering
- 0205 Optical Physics
- 0204 Condensed Matter Physics
Citation
![Journal cover image](https://secure.syndetics.com/index.aspx?isbn=/lc.gif&issn=0927-0256&client=dukeuniv)
Published In
DOI
ISSN
Publication Date
Volume
Related Subject Headings
- Materials
- 5104 Condensed matter physics
- 4016 Materials engineering
- 0912 Materials Engineering
- 0205 Optical Physics
- 0204 Condensed Matter Physics