# Pseudospectral methods for differential equations : application to the Schrödinger type eigenvalue problems

2003
Alıcı, Haydar
In this thesis, a survey on pseudospectral methods for differential equations is presented. Properties of the classical orthogonal polynomials required in this context are reviewed. Differentiation matrices corresponding to Jacobi, Laguerre,and Hermite cases are constructed. A fairly detailed investigation is made for the Hermite spectral methods, which is applied to the Schrödinger eigenvalue equation with several potentials. A discussion of the numerical results and comparison with other methods are then introduced to deduce the effciency of the method.

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Citation Formats
H. Alıcı, “Pseudospectral methods for differential equations : application to the Schrödinger type eigenvalue problems,” M.S. - Master of Science, Middle East Technical University, 2003. 