Date of Award
2022-05-01
Degree Name
Master of Science
Department
Mathematical Sciences
Advisor(s)
Natasha S. Sharma
Abstract
In this thesis we study the well-known first-order Eyre's convex splitting numerical scheme for solving the Cahn-Hilliard equation and theoretically prove and numerically demonstrate the key properties of the scheme namely: mass conservation, unique solvability and unconditional stability. While the convex splitting scheme has been around for over two decades, explicit proofs for these important properties for the fourth order Cahn-Hillard equation are not directly available in the existing literature. This thesis aims to bridge this gap by providing the complete proofs of the aforementioned key properties of the scheme and numerically demonstrating the performance of the scheme.
Language
en
Provenance
Received from ProQuest
Copyright Date
2022-05
File Size
38 p.
File Format
application/pdf
Rights Holder
Oula Khouzam
Recommended Citation
Khouzam, Oula, "Numerical Study of Cahn-Hilliard Equations" (2022). Open Access Theses & Dissertations. 3506.
https://scholarworks.utep.edu/open_etd/3506