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A hydrodynamic stability problem often leads to an equation of eigenvalue problem. There are some simple equations to be solved but most are difficult ones. The Chebyshev-T method is one method that can be used to solve various eigen value problems arising from hydrodynamic stability studies. The me...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/16880 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | A hydrodynamic stability problem often leads to an equation of eigenvalue problem. There are some simple equations to be solved but most are difficult ones. The Chebyshev-T method is one method that can be used to solve various eigen value problems arising from hydrodynamic stability studies. The method applies Chebyshev-T polynomials to approximate the solution. This final project describes the process of applying Chebyshev-T method to find all the eigenvalues that can appear in hydrodynamic stability equation. Especially, application of the method to the equations that have a second (and fourth) order of ordinary differential equation (ODE) is presented. Our illustration can then be considered as a benchmark for solving more complex hydrodynamic stability problems. |
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