Chebyshev spectral collocation method
Chebyshev Spectral Collocation Method for Flow and Heat Transfer in Magnetohydrodynamic Dissipative Carreau Nanofluid over a Stretching Sheet with Internal Heat Generation
... paper, Chebyshev spectral collocation method has been used to study the flow and heat transfer analyses of an electrically conducting liquid film flow Carreau nanofluid over a stretching sheet ...
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Chebyshev spectral collocation method for stochastic delay differential equations
... a spectral collocation method and applying the differentiation matrix to approximate the differential operator arising in ...the Chebyshev-Gauss-Lobatto (C-G-L) points as interpolation points ...
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Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation
... The outline of this paper is as follows. Section 1 contains a brief summary on telegraph equation. In section 2, we review some of the standard facts on Chebyshev spectral collocation method. ...
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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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Non-polynomial Spline Method for Solving Coupled Burgers Equations
... A Chebyshev spectral collocation method, Ali et al proposed the algorithm for the numerical solution of two-dimension coupled Burgers’ equations using A meshfree technique [4], Rashid and MD ...
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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 method for studying the viscoelastic slip flow due to a permeable stretching surface embedded in a porous medium with viscous dissipation and non-uniform heat generation
... For the non-Newtonian viscoelastic fluid the value of the skin friction coefficient is equal to –( – K )f (). To validate our numerical solution, we compare that value with the earlier work of Rajagopal et al. []. Table ...
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A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
... used spectral versions, namely the Galerkin-type, tau and collocation ...the spectral collocation/pseudospectral method is particularly attractive owing to its ...on spectral ...
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Chebyshev Pseudo Spectral Method for Solving Fractional Advection Dispersion Equation
... The organization of this paper is as follows. In the next section, we obtain the approximation of fractional derivative D y x α ( ) . In Section 3, we prove the error analysis of the proposed formula. In Section 4, we ...
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Rational Chebyshev collocation method for the similarity solution of two dimensional stagnation poin
... Because of the absence or the complexity of analytical solutions, the reduced differential equation is usually solved numerically with two point boundary conditions, that one of which is defined on infinity. Some ...
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The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... considered method has two steps, the first step is using the direct way to approximate the time fractional part, the diffusion equation will be system of space fractional ordinary differential equations formula ...
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A Crank–Nicolson collocation spectral method for the two dimensional telegraph equations
... element method (FEM), the finite volume element method (FVEM), and the spectral method are regarded to be four most popular methods, but the accuracy of the spectral method is ...
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A collocation spectral method for two-dimensional Sobolev equations
... a collocation spectral method for two-dimensional (2D) Sobolev ...a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations is first ...the ...
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The Lanczos Chebyshev Pseudospectral Method for Solution of Differential Equations
... There are, however, a number of issues that could affect the numerical performance of various methods. To retain the spectral accuracy, pseudospectral formulations employ orthogonal-polynomial series. In ...
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Subdomain Chebyshev Spectral Method for 2D and 3D Numerical Differentiations in a Curved Coordinate System
... subdomain Chebyshev spectral method to calculate spatial derivatives in a curved coordinate system, which is similar to subspace spectral element method (weak form) [18] that divides ...
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Chebyshev spectral method for singular moving boundary problems with application to finance
... series method [34] is consistent with it, but uses the approximation ...general method will have produced solutions which are better than all of those previously reported, even those given by integral ...
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An efficient iterative scheme using family of chebyshev's operations
... of Chebyshev wavelets capable of the modification of Chebyshev’s iterative ...of Chebyshev operations as well as the first and second kind of Chebyshev polynomials, the construction of corresponding ...
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A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations
... numerical method for solving high order linear Fredholm-Volterra integro-differential equations in terms of rational Chebyshev functions under the mixed ...The method is based on the approximation by ...
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Extended Jacobi and Laguerre Functions and their Applications
... the collocation method using the basis EJFs with g(x) = 1, sin 2 ...the collocation method for some values of N are reported in Table ...
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A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... shifted Chebyshev polynomials of second kind and recall some important ...Galerkin method for solving linear frac- tional differential equations ...fractional Chebyshev function and their ...
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