units
MTH3011
Faculty of Science
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6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL
SynopsisIntroduction to PDEs; firstorder PDEs and characteristics, the advection equation. Finitedifference methods for ODEs, truncation error. The wave equation: exact solution, reflection of waves. The heat equation: exact solution, fixed and insulating boundary conditions. Forward, backward and CrankNicholson numerical methods for the heat equation, truncation errors and stability analysis. Types of secondorder PDEs; boundary and/or initial conditions for wellposed problems. Exact solutions of Laplace's equation. Iterative methods for Laplace's equation; convergence. Numerical methods for the advection equation; upwind differencing. Separation of variables for the wave and heat equations. Objectives
On the completion of this unit students will:
Assessment
Examination (3 hours): 70% Chief examiner(s)
Associate Professor Michael Page Contact hoursThree 1hour lectures and one 2hour laboratory class per week PrerequisitesMTH2010 and MTH2032 or equivalent Prohibitions 