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

Overview

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
• 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 meetings
• developing a rigorous theoretical analysis of fractional models
• deriving, designing and implementing numerical methods for solving fractional differential equations.

Outcomes

Your research outcomes will depend on your study level.

If you're undertaking your PhD, you can expect to write 4-6 Q1 journal papers.

If you're undertaking your Honours or Master of Philosophy, you can expect to write one Q1 journal paper.

Skills and experience

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

If you're undertaking an Honours, or Master of Philosophy, you must have the potential, and interest, in undertaking postgraduate research study for PhD.

If you're involved in the Vacation Research Experience Scheme, you must have the potential, and interest, in undertaking postgraduate research study (Honours, Masters or PhD).

Scholarships

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

Annual scholarship round

Keywords

• • Fractional dynamical models
• • Numerical methods
• • Numerical analysis
• • Parameter estimation

Contact

Contact the supervisor for more information.