Results 21 to 30 of about 18,385 (285)
Polynomial spectral collocation method for space fractional advection–diffusion equation [PDF]
Numerical Methods for Partial Differential Equations, 2013 This article discusses the spectral collocation method for numerically solving nonlocal problems: one‐dimensional space fractional advection–diffusion equation; and two‐dimensional linear/nonlinear space fractional advection–diffusion equation. The differentiation matrixes of the left and right Riemann–Liouville and Caputo fractional derivatives are ...
Tian, WenYi, Deng, Weihua, Wu, Yujiang
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Mathematical Modelling and Analysis, 2017 This paper presents a space-time spectral collocation technique for solving the variable-order Galilei invariant advection diffusion equation with a nonlinear source term (VO-NGIADE).
Mohamed A. Abd-Elkawy +1 more
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Nonlinear Engineering, 2023 In this study, a numerical approach is presented to solve the linear and nonlinear hyperbolic Volterra integrodifferential equations (HVIDEs). The regularization of a Legendre-collocation spectral method is applied for solving HVIDE of the second kind ...
Mirzaei G. F., Rostamy Davood
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Spectral Methods for Numerical Relativity. The Initial Data Problem [PDF]
, 1999 Numerical relativity has traditionally been pursued via finite differencing. Here we explore pseudospectral collocation (PSC) as an alternative to finite differencing, focusing particularly on the solution of the Hamiltonian constraint (an elliptic ...
Finn, Lee Samuel, Kidder, Lawrence E.
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Optimal Collocation Nodes for Fractional Derivative Operators [PDF]
, 2014 Spectral discretizations of fractional derivative operators are examined, where the approximation basis is related to the set of Jacobi polynomials. The pseudo-spectral method is implemented by assuming that the grid, used to represent the function to be
Fatone, Lorella, Funaro, Daniele
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An efficient meshless radial point collocation method for nonlinear p-Laplacian equation
Boundary Value Problems, 2020 This paper considered the spectral meshless radial point interpolation (SMRPI) method to unravel for the nonlinear p-Laplacian equation with mixed Dirichlet and Neumann boundary conditions.
Samaneh Soradi-Zeid +2 more
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Space–time spectral collocation method for Klein–Gordon equation [PDF]
Journal of Algorithms & Computational Technology, 2021 By using the Legendre–Laguerre collocation method, we can construct a spectral collocation scheme to solve the Klein–Gordon equation on the half-line. The Laguerre function collocation method (based on the Lagrange interpolation) in space and the Legendre–Gauss–Lobatto collocation method in time are used. A Newton iterative algorithm is provided.
Ping Zhang, Te Li, Yuan-Hao Zhang
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Spanning the Gap From Bulk to Bin: A Novel Spectral Microphysics Method
Journal of Advances in Modeling Earth Systems, 2022 Microphysics methods for climate models and numerical weather prediction typically track one, two, or three moments of a droplet size distribution for various categories of liquid, ice, and aerosol.
E. K. deJong +3 more
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Numerical approach for high precision 3-D relativistic star models [PDF]
, 1998 A multi-domain spectral method for computing very high precision 3-D stellar models is presented. The boundary of each domain is chosen in order to coincide with a physical discontinuity (e.g. the star's surface).
C. Canuto +31 more
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A spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domains [PDF]
, 2014 We study some convergence issues for a recent approach to the problem of transparent boundary conditions for the Helmholtz equation in unbounded domains.
Ciraolo, Giulio +2 more
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