Advanced Computational Methods

Description

Error analysis. Solution of non-linear algebraic equations. Numerical integration. Numerical solution of ordinary differential equations (ODEs) for the initial value problem. Solution of systems of ODEs. The stiff ODEs. The solution of the boundary value problem using the linear shooting, finite difference, and non-linear shooting methods. Applications to Mechanical, hydraulic, and thermal system design. The finite difference approximation. Numerical solution of partial differential equations (PDEs) using the finite difference method. Applications on elliptic, parabolic, and hyperbolic PDEs. Direct and iterative methods of solution. Solution of PDEs using the finite volume method. Solution of PDEs using the finite element method. Applications to problems in fluid mechanics, steady and transient conduction heat transfer, elastic deformation of solid elements, and stress analysis. Case studies using the MATLAB programming and available software and modules.

Program

Master of Engineering (MEng) Program

Objectives

• Develop ability to use personal computers to solve advanced problems in mechanical engineering.