Using Spectral Method as an Approximation for Solving Hyperbolic PDEs

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dc.creatorPedram, P.
dc.creatorMirzaei, M.
dc.creatorGousheh, S. S.
dc.date2007-01-05
dc.date2007-01-06
dc.date.accessioned2026-07-07T10:38:17Z
dc.date.available2026-07-07T10:38:17Z
dc.descriptionWe demonstrate an application of the spectral method as a numerical approximation for solving Hyperbolic PDEs. In this method a finite basis is used for approximating the solutions. In particular, we demonstrate a set of such solutions for cases which would be otherwise almost impossible to solve by the more routine methods such as the Finite Difference Method. Eigenvalue problems are included in the class of PDEs that are solvable by this method. Although any complete orthonormal basis can be used, we discuss two particularly interesting bases: the Fourier basis and the quantum oscillator eigenfunction basis. We compare and discuss the relative advantages of each of these two bases.
dc.description19 pages, 14 figures. to appear in Computer Physics Communication
dc.identifierhttps://arxiv.org/abs/math-ph/0701015
dc.identifierhttp://arxiv.org/abs/math-ph/0701015
dc.identifierComput.Phys.Commun.176:581-588,2007
dc.identifierdoi:10.1016/j.cpc.2007.01.004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180666
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectComputational Physics
dc.titleUsing Spectral Method as an Approximation for Solving Hyperbolic PDEs
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