Spectral collocation
Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method
... a spectral collocation method of the Chebyshev type is employed to solve the heat transfer ...Chebyshev collocation spectral method is based on the expansion by virtue of the Chebyshev ...at ...
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Chebyshev Spectral Collocation Method for Flow and Heat Transfer in Magnetohydrodynamic Dissipative Carreau Nanofluid over a Stretching Sheet with Internal Heat Generation
... 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 subjected to ...
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A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
... a spectral collocation method based on integrated Chebyshev polyno- mials for numerically solving biharmonic boundary-value ...converting spectral space into physical ...same spectral tensor ...
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Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation
... In this paper, a Chebyshev spectral collocation semi-discretization in space is applied to numerical solution of telegraph equation. We describe behavior of telegraph equation for various values of α and β ...
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An effective spectral collocation method for the direct solution of high-order ODEs
... This paper reports a new Chebyshev spectral collocation method for directly solving high-order ordinary differential equations (ODEs). The construction of the Cheby- shev approximations is based on ...
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A spectral collocation method for stochastic Volterra integro differential equations and its error analysis
... integro-differential (SVID) equations based on the Legendre-spectral collocation method. In order to fully use the properties of orthogonal polynomials, we use some function and a variable transformation to ...
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An efficient spectral collocation algorithm for nonlinear Phi-four equations
... of spectral methods are the Galerkin, tau and collocation ...The spectral collocation method is considered the simplest method with high accuracy and stability similar to the other types of ...
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Lagrange’s Spectral Collocation Method for Numerical Approximations of Two Dimensional Space Fractional Diffusion Equation
... method to solve the resulting system of ODE. Two examples are considered to verify the efficiency of different types of nodes in the proposed method. We compare approximated solution with exact solution and find that ...
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Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method
... element, spectral, finite volume, boundary element [14]. Spectral collocation methods have been widely used to solve numerically differential equations by many authors, (see for instance [8, 12, 16, ...
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New spectral collocation algorithms for one and two dimensional Schrödinger equations with a Kerr law nonlinearity
... the spectral methods is to express the approximate solution of the problem as a finite sum of certain basis func- tions (orthogonal polynomials or a combination of them) and then choose the coefficients in order to ...
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Chebyshev spectral collocation method for stochastic delay differential equations
... Chebyshev spectral collocation method to solve a certain type of stochastic delay differential ...a spectral collocation method, the scheme is constructed by applying the differentiation matrix ...
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Spectral Collocation Solution of Thermosolutal Free Convective MHD Flow Past through low heat resistance medium with internal heat source
... Khandelwal ,”Doublediffusive mixed convection in a vertical pipe: A thermal non-equilibrium approach”, International Journal of Heat and Mass Transfer 55 2012 7079–7092 [21] S.Kapoor., S[r] ...
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Non-polynomial Spline Method for Solving Coupled Burgers Equations
... 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 studied Viscous ...
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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
... Chebyshev spectral collocation method for the ordinary differential equations which describe the flow of viscoelastic fluid over a stretching sheet embedded in a porous medium with viscous dissipation and slip ...
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Pseudo Spectral Method for Space Fractional Diffusion Equation
... Chebyshev spectral collocation method (often called pseudo-spectral) is used in this ...Chebyshev spectral method used here shows remarkably superiority in terms of accuracy and the number of ...
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Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder
... a spectral collocation method based on these new basis functions is formulated and used for the analysis of the axisymmetric stagnation point flow on an infinite stationary cylinder and subsequently the ...
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Numerical Study of Unsteady Flow of Gas Through a Porous Medium By Means of Chebyshev Pseudo-Spectral Method
... Unsteady flow of gas through a porous medium is a strongly nonlinear ordinary differential equation on semi-infinite interval. In this paper, we have applied the pseudo-spectral collocation method with a ...
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Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method
... the spectral collocation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo’s H-differentiability sense with order (1 < ν < ...
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A Crank–Nicolson collocation spectral method for the two dimensional telegraph equations
... The remaining contents in this paper are scheduled as follows. In Sect. 2, we first re- view the spectral-collocation method and some Sobolev spaces. Then, in Sect. 3, we build the CNCS model for the 2D ...
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Approximate Technique for Solving Class of Fractional Variational Problems
... This paper is devoted to implementing the Legendre spectral collocation method to introduce numerical solutions of a certain class of fractional variational problems (FVPs). The properties of the Legendre ...
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