modules

A PDE is a differential equation in which the unknown function is a function of multiple independent variables and the equation involves its partial derivatives. The order is defined similarly to the case of ordinary differential equations, but further classification into elliptic, hyperbolic, and parabolic equations, especially for second order linear equations, is of utmost importance. Some partial differential equations do not fall into any of these categories over the whole domain of the independent variables and they are said to be of mixed type.

On this module, you will learn which types of PDEs can be solved exactly, and which require a numerical approach. Furthermore, you will discover how PDEs can be well-posed or ill-posed, and will find out about a range of analytical and numerical techniques used to solve PDEs.

The module describes how computers can be utilised to model equations from physics. In addition, you will strengthen your ability to interpret theoretical mathematical concepts, and acquire a deeper understanding of how mathematics relates to real world problems.

Pre-requisite modules: “Differential Equations” (ECM2903 ) and “Vector Calculus and Applications” (ECM2908 ) or equivalent

_{Please note that all modules are subject to change, please get in touch if you have any questions about this module.}