ME20014: Modelling techniques 1
[Page last updated: 27 October 2020]
Academic Year: | 2020/1 |
Owning Department/School: | Department of Mechanical Engineering |
Credits: | 6 [equivalent to 12 CATS credits] |
Notional Study Hours: | 120 |
Level: | Intermediate (FHEQ level 5) |
Period: |
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Assessment Summary: | CW40MC60 |
Assessment Detail: |
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Supplementary Assessment: |
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Requisites: | This unit is not normally available to visiting/exchange students. |
Description: | Aims: To continue to develop algorithm design and programming techniques 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: After taking this unit the student should be able to: * Understand how the various standard ordinary differential equations (ODEs) arise in engineering. * Understand and use numerical techniques in the solution of such ODEs. * Understand the use of computer programming using MATLAB for the solution of engineering problems described by ODEs. Skills: Problem solving; numeracy; working independently. Content: 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. |
Programme availability: |
ME20014 is Compulsory on the following programmes:Department of Electronic & Electrical Engineering
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