ME20021: Modelling techniques 2
[Page last updated: 27 October 2020]
![]() | 2020/1 |
![]() | Department of Mechanical Engineering |
![]() | 6 [equivalent to 12 CATS credits] |
![]() | 120 |
![]() | Intermediate (FHEQ level 5) |
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![]() | CW 40%, EX 60% |
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![]() | 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 PDEs. 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 partial differential equations (PDEs) arise in engineering. * Demonstrated a knowledge and understanding of the use of numerical and analytical techniques in the solution of such PDEs. * Demonstrated a knowledge and understanding of the application of Fourier series and transforms. Skills: Problem solving; numeracy; working independently. Content: Fourier's equation of heat conduction, Laplace's equation and Poisson's equation: derivation, numerical solution and analytical solutions. The wave equation: derivation, D'Alembert's solution, separation of variables solution, numerical solution using Method of Characteristics. Fourier series: application in ODEs and PDEs governing various engineering systems. Fourier Transforms: definition, general results, application in solving ODEs and PDEs. Discrete Fourier transforms. |
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ME20021 is Compulsory on the following programmes:Department of Electronic & Electrical Engineering
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