Chebyshev–Gauss–Lobatto collocation method for variable-order time fractional generalized Hirota–Satsuma coupled KdV system
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DOI: 10.1007/s00366-020-01125-5
Abstract: In this paper, the Chebyshev–Gauss–Lobatto collocation method is developed for studying the variable-order (VO) time fractional model of the generalized Hirota–Satsuma coupled KdV system arising in interaction of long waves. To define this new system,… read more here.
Keywords: collocation; system; gauss lobatto; chebyshev gauss ... See more keywords
Insights on Aliasing Driven Instabilities for Advection Equations with Application to Gauss–Lobatto Discontinuous Galerkin Methods
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DOI: 10.1007/s10915-017-0585-6
Abstract: We analyse instabilities due to aliasing errors when solving one dimensional non-constant advection speed equations and discuss means to alleviate these types of errors when using high order discontinuous Galerkin (DG) schemes. First, we compare… read more here.
Keywords: driven instabilities; gauss lobatto; instabilities advection; discontinuous galerkin ... See more keywords