Abstract
In this paper, we provide a solution to the Cahn–Hilliard equation using the q-homotopy analysis method (q-HAM). The q-HAM is a more general, simple and widely used method for solving stiff nonlinear partial differential equations. The Cahn–Hilliard equation is a classical model in material sciences that describe spinodal decomposition and phase separation in two-phase flows. Using the q-HAM, the effect of various parameters of physical interest such as diffusive parameter, thickness parameter, advection and reaction terms on concentration is studied. The comparison of the computed solution with the exact solution is presented for some fixed parameter values to validate the solution obtained using the q-HAM.
| Original language | English |
|---|---|
| Pages (from-to) | 813-819 |
| Number of pages | 7 |
| Journal | Journal of Taibah University for Science |
| Volume | 16 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2022 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- The Cahn–Hilliard equation
- advection and reaction terms
- diffusion parameter
- the q-homotopy analysis method
- thickness of transition layer
ASJC Scopus subject areas
- General Chemistry
- General Mathematics
- General Biochemistry, Genetics and Molecular Biology
- General Environmental Science
- General Agricultural and Biological Sciences
- General Physics and Astronomy
- General Earth and Planetary Sciences