Title: Numerical Solutions of Some Linear and Nonlinear Diffusion Equations by Cubic B-spline Collocation Method
Abstract: Many phenomena in various scientific fields are mathematically expressed by using the well-known evolution equations. The diffusion equation is one of them. We aim to develop new numerical methods to study diffusion equations. Significant literature can be found over second order approximations for cubic B-spline collocation method. The fourth order method is never studied for numerical solutions of partial differential equations. We have developed fourth order cubic B-spline collocation method and a B-spline ADI method to solve partial differential equations.
Date: 02/01/19
Time: 3 pm
Venue: MZ 195, committee room, Department of Mathematics