Chebyshev Pseudo-Spectral Method for Linear ODEs
Chebyshev Pseudo Spectral Method for Solving Fractional Advection Dispersion Equation
... numerical method for solving the fractional Advection-dispersion equation (ADE) is ...The method is based on Chebyshev ...of Chebyshev polynomials are used to reduce ADE to a system of ...
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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 ...
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Two Level Block Decompositions for Solving Helmholtz Equation via Chebyshev Pseudo Spectral Method
... the Chebyshev pseudospectral scheme. Chebyshev pseudo- spectral methods have long been used to numerically solve partial differential equations [1] [2] ...a linear system with ...
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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 ...
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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 ...
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On the relationship between the stochastic Galerkin method and the pseudo-spectral collocation method for linear differential algebraic equations
... Consistently with this literature, we show that the factorization turns out to be exact for first-order random inputs, and hence the two methods coincide under this assumption. Further, the presented results also ...
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2D Continuous Chebyshev-Galerkin Time-Spectral Method
... fully spectral multi-domain method has been developed and applied to three applications within ideal MHD, compressible Navier-Stokes, and a two- fluid plasma turbulence model named the Weiland ...
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An effective spectral collocation method for the direct solution of high-order ODEs
... new Chebyshev spectral collocation method for directly solving high-order ...The Chebyshev expressions representing the dependent variable and its derivatives are constructed through an ...
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Chebyshev spectral collocation method for stochastic delay differential equations
... of spectral method of linear variable coefficient neutral differential equation with variable ...M: Chebyshev finite difference approximation for the boundary value ...
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A New Hybrid Method Based on Pseudo Differential Operators and Haar Wavelet to Solve ODEs
... The paper is organized in 5 sections in the following way. In section 2 we recall some preliminaries. Some numerical solutions for some examples of linear and nonlinear differential equations by using our new ...
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Pseudo Spectral Method for Space Fractional Diffusion Equation
... Chebyshev spectral collocation method (often called pseudo-spectral) is used in this ...the Chebyshev polynomials and Gauss-Lobbato nodes, the unknown is approximated by using ...
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Chebyshev spectral method for singular moving boundary problems with application to finance
... integral method most widely used is based on the fundamental solution of parabolic differential ...the linear case, the corresponding expression cannot be immediately resolved, since the domain of ...
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A rational spectral collocation method with adaptively transformed Chebyshev grid points
... the Chebyshev spectral method and the adaptive rational spectral ...rational spectral method decreases in steps of about 2, reflecting the loss of absolute accuracy in the ...
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Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation
... presented. Chebyshev spectral colloca- tion method have become very useful in providing highly accurate solutions to partial differential ...of spectral differentiation ...Using Chebyshev ...
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Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs
... collocation method by using the second shifted Chebyshev ...numerical method solving the model non-linear such as Riccati differential equation, Logistic differential equation and Multi-order ...
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Numerical Solution of Klein/Sine Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets
... these method mentioned above, spectral and wave- let method has got more attention of researcher from the last two ...the linear and non-linear ordinary differential equa- tions, ...
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Subdomain Chebyshev Spectral Method for 2D and 3D Numerical Differentiations in a Curved Coordinate System
... “subdomain Chebyshev spectral method” is presented for calculation of the spatial derivatives in a curved coordinate system, which may be employed for numerical solutions of partial differential ...
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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 ...
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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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A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
... tau method for solving some multi-order fractional differential equation variable coefficients is treated using the shifted Legendre Gauss–Lobatto quadrature (see, [ 19 ...the spectral tau method for ...
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