UCK 348 - Computer Applications in Engineering

Course Objectives

1. To teach numerical solution techniques of ODEs
2. To teach finite differences solution techniques of PDEs
3. To teach finite volume solution techniques of convection-diffusion problems

Course Description

Numerical solution of ordinary differential equations, initial value problems, Taylor series and Runge-Kutta methods, boundary value problems, shooting, finite difference method. Numerical solution of partial differential equations: Direct and iterative methods for elliptic equations. Explicit and implicit methods for parabolic equations. Stability and convergence. Numerical solution of hyperbolic equations. Numerical solution of convection-diffusion problems by finite volume method.