Novel numerical methods and techniques for complex fractional dynamical systems and applications

Study level



Vacation research experience scheme

Topic status

We're looking for students to study this topic.


Professor Fawang Liu
Division / Faculty
Science and Engineering Faculty

External supervisors



In recent years, fractional models have attracted considerable interest because of their ability to model many phenomena. Anomalous diffusion phenomena are widely spread in nature and engineering. This proposal aims to carry out innovative and novel research on developing effficient, robust and accurate computational models for complex fractional dynamical systems. This project involves fractional dynamical systems; numerical methods: finite difference, finite element, finite volume, meshless, and spectral methods and applications.

Research activities

Activities will include:

  • conducting a thorough preliminary literature review
  • undertaking coursework where needed
  • attending School Seminars and fractional group meeting
  • developing a rigorous theoretical analysis of fractional models.
  • deriving, designing and implementing numerical methods for solving fractional differential equations


  • PhD: write 4-6 Q1 journal papers
  • Honours or Master of Philosophy: write 1-2 Q1 journal papers
  • Vacation Research Experience Sheme: write one paper

Skills and experience

You should have skills and experience in computational mathematics, MATLAB or FORTRAN.

  • Honours, or Master of Philosophy students must have the potential and an interest in undertaking postgraduate research study for PhD.
  • Students (Vacation Research Experience Scheme) must have the potential and an interest in undertaking postgraduate research study (Honours, Masters or PhD)


You may be able to apply for a research scholarship in our annual scholarship round.

Annual scholarship round



Contact the supervisor for more information.