In this paper we use a spectral-collocation method for the computation of singular minimizers in two-dimensional elasticity.
Unlike previous approaches which bootstrap the moving grid from a lower-order, finite-difference discretization, this work uses a consistent spectral collocation discretization for both the grid movement problem and the underlying, physical partial differential equation.
A spectral collocation method is used to solve the linearized Euler equations in a duct with shear flow and lined walls in order to identify a possible hydrodynamic instability observed in published experiments.
The authors in [13] propose a spectral collocation method for SODEs.
This system is discretized by a spectral collocation method without introducing a staggered grid.
Based on a spectral collocation method, the scheme is constructed by applying the differentiation matrix (D_{N}) to approximate the differential operator (frac{d}{dt}).
The derived model is numerically solved using Chebyshev spectral collocation method.
Free in-plane vibration analysis of isotropic plates with skew geometry is carried out using the spectral collocation method.
In this study we discretize the differential equations using Chebyshev spectral collocation methods (see, for example, [34, 35]).
