Spectral Analysis on Burgers’ Equation and Its Solutions Using Three Different Basis Functions
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DOI: 10.1007/s40819-018-0525-7
Abstract: In this study, Spectral Collocation method with three different basis functions are used to analyse the famous Burgers’ equation. It is the simplest nonlinear model which represents diffusive waves in fluid dynamics and is a… read more here.
Keywords: basis functions; analysis; burgers equation; different basis ... See more keywords
Numerical dispersion analysis of discontinuous Galerkin method with different basis functions for acoustic and elastic wave equations
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DOI: 10.1190/geo2017-0485.1
Abstract: The discontinuous Galerkin method (DGM) has been applied to investigate seismic wave propagation recently. However, few studies have examined the dispersion property of DGM with different basis functions. Therefore, three common basis functions, Legendre polynomial,… read more here.
Keywords: basis functions; discontinuous galerkin; basis; dispersion ... See more keywords
On difference of operators with different basis functions
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DOI: 10.2298/fil1910023g
Abstract: In the recent years several researchers have studied problems concerning the difference of two linear positive operators, but all the available literature on this topic is for operators having same basis functions. In the present… read more here.
Keywords: operators different; basis functions; difference; different basis ... See more keywords