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An innovative subdivision collocation algorithm for heat conduction equation with non-uniform thermal diffusivity. [PDF]
Ejaz ST +4 more
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Learning variable-order time fractional diffusion equations using Physics-Informed Neural Networks. [PDF]
Ren L, Jin S.
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Computational investigation of stochastic Zika virus optimal control model using Legendre spectral method. [PDF]
Zhu J +5 more
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Superconvergence of a Chebyshev Spectral Collocation Method
Journal of Scientific Computing, 2007A Chebyshev spectral collocation method is derived for approximating the solution of the second-order two point differential boundary value problems in terms of Chebyshev polynomials \[ u_p= \sum^p_1 a_m\psi_m(x),\quad\psi_m(x)= \int^x_{-1} T_{m-1}(t)\,dt,\;m\geq 1. \] Superconvergence of the derivatives \(u_p'\) at zero's of \(T_m(x)\) is proved.
Zhimin Zhang
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Hamilton–Pontryagin spectral-collocation methods for the orbit propagation
Acta Mechanica Sinica, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi, Zhonggui, Yue, Baozeng, Deng, Mingle
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Fractional Spectral Collocation Method
SIAM Journal on Scientific Computing, 2014We develop an exponentially accurate fractional spectral collocation method for solving steady-state and time-dependent fractional PDEs (FPDEs). We first introduce a new family of interpolants, called fractional Lagrange interpolants, which satisfy the Kronecker delta property at collocation points.
Mohsen Zayernouri, George E. Karniadakis
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Spectral collocation methods for polymer brushes
The Journal of Chemical Physics, 2011We provide an in-depth study of pseudo-spectral numerical methods associated with modeling the self-assembly of molten mixed polymer brushes in the framework of self-consistent field theory (SCFT). SCFT of molten polymer brushes has proved numerically challenging in the past because of sharp features that arise in the self-consistent pressure field at ...
Tanya L, Chantawansri +4 more
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ADI spectral collocation methods for parabolic problems
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernard Bialecki, Javier de Frutos
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