Department of Mechanical Engineering, Unit Catalogue 2008/09 |
ME20014 Modelling techniques 1 |
| Credits: 6 |
| Level: Intermediate |
| Semester: 1 |
| Assessment: CW 40%, EX 60% |
| Requisites: |
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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. Learning Outcomes: 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. Skills: Problem solving; numeracy; working independently. Content: 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. |