Department of Mechanical Engineering, Unit Catalogue 2008/09
ME20014 Modelling techniques 1
| Credits: 6 |
| Semester: 1|
|Assessment: CW 40%, EX 60%|
Aims: To introduce the students to programming in MATLAB. To acquire a large variety of numerical and mathematical techniques to be used for those engineering problems modelled in terms of ODEs.
To provide a strong mathematical and computational foundation for solving equations arising in the modelling of engineering systems.
On successful completion of this unit the student will have:
* Demonstrated a knowledge and understanding of how the various standard ordinary differential equations (ODEs) arise in engineering.
* Demonstrated a knowledge and understanding of the use of numerical techniques in the solution of such ODEs.
Problem solving; numeracy; working independently.
Introduction to MATLAB. Numerical solution of ordinary differential evolution equations using Euler's method and the Runge-Kutta methods, including reduction to first order form and numerical stability analysis. Numerical solution of two-point ordinary differential boundary value problems using a direct method (the tridiagonal matrix algorithm and an indirect method (the shooting method). Local and Global Truncation Errors: choosing a suitable numerical method and the improvement of accuracy. Translating engineering problem statements in English into ODEs, and hence into MATLAB software.