The pseudo-spectral method
Pseudo Spectral Method for Space Fractional Diffusion Equation
... on pseudo-spectral ...using pseudo-spectral method, the SFDE is reduced to a system of ordi- nary differential equations for time variable ...this method agree well with the ...
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Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation
... indirect method is proposed based on the Chebyshev pseudo-spectral method for solving optimal control problems governed by Burgers’ ...equation. Pseudo-spectral methods are one ...
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System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method
... briefly, pseudo-spectral method to solve linear Ordinary Differential Equations (ODEs), and then extend it to solve a system of linear ODEs and then Differential-Algebraic Equations ...this ...
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Fourier pseudo spectral method for the extended Fisher Kolmogorov equation in two dimensions
... Fourier pseudo-spectral method for solving the EFK equation in two space dimensions is ...Crank-Nicolson method is proposed, and related optimal error estimates are derived and some numerical ...
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Research on the Maximum Range of Gliding Vehicles Based on Gauss Pseudo spectral Method
... indirect method and direct method. The indirect method satisfies the first-order optimality condition, but the solving process is ...Direct method transforms the optimal control problem into ...
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Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
... Keywords: Legendre Pseudo-Spectral Method; Multi-Order Fractional Differential Equations; Caputo Derivative 1. Introduction Many phenomena in engineering physics, chemistry, and other sciences can be ...
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Two Level Block Decompositions for Solving Helmholtz Equation via Chebyshev Pseudo Spectral Method
... in the Cartesian domain Ω = − [ 1,1 ] [ ⊗ − 1,1 ] , subject to homogeneous Di- richlet boundary condition, discretized with the Chebyshev pseudo-spectral method. The main purpose of this paper is to ...
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A multi-domain implementation of the pseudo-spectral method and compact finite difference schemes for solving time-dependent differential equations
... the pseudo-spectral method the approximations can exhibit spurious oscillations which can lead to nonlinear instabilities if the number of grid points is very ...
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Optimal control of switched systems by a modified pseudo spectral method
... In this paper, we investigate a modified Legendre PS scheme in order to explore accurate and efficient solutions of optimal control problems for switched systems. Here, we consider the optimal control problems in which a ...
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Chebyshev Pseudo Spectral Method for Solving Fractional Advection Dispersion Equation
... This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract Fractional differential equations have recently been applied in various ...
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A Fast Immersed Boundary Fourier Pseudo-spectral Method for Simulation of the Incompressible Flows
... Fourier pseudo-spectral solution of the vorticity-velocity formulation of the two-dimensional incompressible Navier-Stokes ...conventional pseudo-spectral solver, together with a modified ...
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An efficient domain-decomposition pseudo-spectral method for solving elliptic differential equations
... SUMMARY In this paper, a new numerical scheme based on non-overlapping domain decom- positions and integrated Chebyshev approximations for solving elliptic differential equations is presented. The distinguishing feature ...
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An Accurate Numerical Solution for the Modified Equal Width Wave Equation Using the Fourier Pseudo Spectral Method
... In this study, the numerical solution for the Modified Equal Width Wave (MEW) equation is pre- sented using Fourier spectral method that use to discretize the space variable and Leap-frog me- thod scheme ...
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Numerical Solution for the Fractional Wave Equation Using Pseudo Spectral Method Based on the Generalized Laguerre Polynomials
... In this paper, an efficient numerical method is considered for solving the fractional wave equation (FWE). The fractional derivative is described in the Caputo sense. The method is based on La- guerre ...
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Numerical Study of Unsteady Flow of Gas Through a Porous Medium By Means of Chebyshev Pseudo-Spectral Method
... decomposition method and Pad´ e ...iteration method using He’s polynomials and Pad´ e approximation for solv- ing this ...Lagrangian method, generalized La- guerre polynomials, rational Chebyshev ...
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On the relationship between the stochastic Galerkin method and the pseudo-spectral collocation method for linear differential algebraic equations
... Galerkin method or on non-intrusive collocation approaches, of which a very common example is the pseudo-spectral method based on Gaussian quadrature ...
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Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method
... functions. Spectral collocation meth- ods [10, 23] based on Chebyshev polynomials (also is called pseudo-spectral method) in the context of numerical schemes for differential equations, belong ...
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COMPRESSIVE SPECTRAL RENORMALIZATION METHOD
... the Spectral Renormalization ...Another method known is the Petviashvili’s method which is based on transforming the governing nonlinear equation into Fourier space, as in the case of general Fourier ...
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A Class of Momentum-Preserving Fourier Pseudo-Spectral Schemes for the Korteweg-de Vries Equation
... The paper is organized as follows. In Section 2.1, we first approximate the spatial derivatives of the KdV equation by the Fourier pseudo-spectral method and obtain corresponding semi-discrete ...
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Scaling of a Fast Fourier Transform and a pseudo-spectral fluid solver up to 196608 cores
... a pseudo-spectral method, which is one of the most accurate methods for solving differential equations due to the exponential convergence of derivative computations in this method [ 3 , 5 ...
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