Course Description

The course is an introduction to the theory of partial differential equations and also provides methods of solution of boundary and initial value problems. Participants are taught how to identify different types of partial differential equations and to obtain the equations that are satisfied by given functions. Analytical methods of solutions of first order equations having certain standard forms are given. Various methods of solution of these equations are considered, taking into account any initial and boundary value problems relevant to a given situation in the real world. Throughout the course, the emphasis is on methods of solution.

Pre-requisites:
Candidate must have experience with basic computer operations and preferably attended our "Learner's Guide to MATLAB", and preferably our "Understanding and Analyzing Numerical Methods".

Course Outline:

1. 3-D Graphics with MATLAB

2. Using the PDE Solver

• MATLAB Functions
• The general form of the PDE
• Examples in Heat Equations and Electrodynamics applications

3. Using the PDE Toolbox

• MATLAB Functions
• The general form of the PDE
• Examples in Heat Equations and Electrodynamics applications

4. Finite Difference Methods for Elliptic Equations: Poisson Equation

• Dirichlet Boundary Conditions
• General Boundary Conditions

Who Should Attend
Researchers, Lecturers, Scientists, Engineers and Managers that are not familiar but yet interested in exploring PDEs with MATLAB.