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

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2003

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Alıcı, Haydar

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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.

Subject Keywords

Spectral theory (Mathematics), Schrodinger equation, Pseudospectral (collocation) methods, Differentiation matrices, Her mite spectral methods, Schrödinger equation, Quantum mechanical potentials with single and multiminima

URI

http://etd.lib.metu.edu.tr/upload/1086198/index.pdf
https://hdl.handle.net/11511/13891

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Graduate School of Natural and Applied Sciences, Thesis

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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.