An approach to the numerical studies of partial differential equations (PDEs)

• Main Author: Pang, Keith Jing Jie
• Other Authors: Su Haibin
• Format: Final Year Project
• Language: English
• Published: 2012
• Subjects: DRNTU::Engineering::Mathematics and analysis
• Online Access: http://hdl.handle.net/10356/48401
• Institution: Nanyang Technological University

In todays’ engineering practices, numerical methods are integral to the development of solutions for the myriad of engineering problems. The key role that numerical methods play is to come up with approximate solutions to complicated engineering problems with the help of computers using mathematical models or equations so that we are able to understand our problem better. Firstly, the research will look into one of the numerical methods called Finite Difference Method (FDM) and gain an understanding of this method by solving several basic partial-differential equations. The second part will look into analyzing a more advanced group of equations that belong to reaction-diffusion systems. The limitations and capabilities of the Finite Difference method will be discussed in the context of the Burger’s equation and the Fisher’s equation.