Perpustakaan Digital ITB

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 eigenvalue problems arising from hydrodynamic stability studies. The method applies Chebyshev 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.