Collaborative Research on A spectral method for Cahn-Hilliard Equation

Cahn-Hilliard, appears in mathematical physics, describes the motion of two phase separating from each other. It has a wide range of applications in diverse fields such as material sciences, nanotechnology and semiconductor fabrication. There is a considerable research interest in studying the solution of the equation; however, the exact solution is hard to find. Therefore, it is desirable to develop accurate and efficient numerical algorithms to solve the problem. Spectral method has been proved having very good approximation and fast computation speed. My aim is to study spectral method in finding solution of the Cahn-Hilliard equation. Finally, we will simulate the solution of the equation which models some real world problems. The Mitacs Globalink Research Award presents a good way to carry out collaborative work with researchers at Northwestern Polytechnical University in China, and this is also important in training for a young researcher.

Faculty Supervisor:

Yaushu Wong

Student:

Zecheng Zhang

Partner:

Discipline:

Mathematics

Sector:

Natural resources

University:

University of Alberta

Program: