MSc in Mathematical and Computational Sciences

Presenter:  Maleeha Haris

Title of the Thesis: “Theory and Applications of Linear Difference Equations via the h-Operator”

Have you ever wondered about the study of classical differential equations, but restricting the independent variable to take discrete values? This is where the study of Difference Equations comes in.

We will be exploring the h-difference equations, the study of the linear difference equations, some theorems and corollaries of the h-difference operators and recovering their analogue in the classical differential equations. We will look at linear first-order difference equations and ways to find their solutions. We will also explore the equivalent forms of the second-order difference equations and derive the d_{h}AIM scheme for finding the solution. We end by applying the methods studied above to find the solution of several classical second-order difference equations.

April 15, 9:00 am in Don and Marion McDougall Hall, Room 328

Everyone is welcome.