نتایج جستجو برای: chebyshev halley method

تعداد نتایج: 1633317  

2014
M. M. KHADER

Abstract: In this paper, we are implemented the Chebyshev spectral method for solving the non-linear fractional Klein-Gordon equation (FKGE). The fractional derivative is considered in the Caputo sense. We presented an approximate formula of the fractional derivative. The properties of the Chebyshev polynomials are used to reduce FKGE to the solution of system of ordinary differential equations...

In this paper, a spectral collocation approach based on the rational Chebyshev functions for solving the axisymmetric stagnation point flow on an infinite stationary circular cylinder is suggested. The Navier-Stokes equations which govern the flow, are changed to a boundary value problem with a semi-infinite domain and a third-order nonlinear ordinary differential equation by applying proper si...

Journal: :computational methods for differential equations 0
mohammadreza ahmadi darani shahrekord university. mitra nasiri shahrekord university.

in this paper we introduce a type of fractional-order polynomials basedon the classical chebyshev polynomials of the second kind (fcss). also we construct the operationalmatrix of fractional derivative of order $ gamma $ in the caputo for fcss and show that this matrix with the tau method are utilized to reduce the solution of some fractional-order differential equations.

Journal: :SIAM J. Scientific Computing 1998
Roberto Barrio Javier Sabadell

A simple parallel algorithm for the evaluation of polynomials written in the Chebyshev form is introduced. By this method only 2 ⌈log2(p−2)⌉+ ⌈log2 p⌉+4 ⌈N/p⌉−7 steps on p processors are needed to evaluate a Chebyshev series of degree N . Theoretical analysis of the efficiency is performed and some numerical examples on a CRAY T3D are shown.

Journal: :Journal of Approximation Theory 2014
Kerstin Jordaan Ferenc Toókos

The family of general Jacobi polynomials P (α,β) n where α, β ∈ C can be characterised by complex (nonhermitian) orthogonality relations (cf. [15]). The special subclass of Jacobi polynomials P (α,β) n where α, β ∈ R are classical and the real orthogonality, quasi-orthogonality as well as related properties, such as the behaviour of the n real zeros, have been well studied. There is another spe...

Journal: :SIAM J. Scientific Computing 1995
Jie Shen

Efficient direct solvers based on the Chebyshev-Galerkin methods for second and fourth order equations are presented. They are based on appropriate base functions for the Galerkin formulation which lead to discrete systems with special structured matrices which can be efficiently inverted. Numerical results indicate that the direct solvers presented in this paper are significantly more accurate...

2004
S. Z. Peng J. Pan

A new numerical method, named the acoustical wave propagator method, is introduced to describe the dynamic characteristics of one-dimensional structures with discontinuities. The acoustical wave propagator is derived and implemented by combining Chebyshev polynomial expansion and fast Fourier transformation. Numerical accuracy of the acoustical wave propagator method is examined and compared wi...

2013
Toufik Mansour Mark Shattuck David G.L. Wang

In this paper, we consider the number of occurrences of descents, ascents, 123-subwords, 321-subwords, peaks and valleys in flattened permutations, which were recently introduced by Callan in his study of finite set partitions. For descents and ascents, we make use of the kernel method and obtain an explicit formula (in terms of Eulerian polynomials) for the distribution on Sn in the flattened ...

1995
L. Gemignani LUCA GEMIGNANI Luca Gemignani

The Lanczos method and its variants can be used to solve eeciently the rational interpolation problem. In this paper we present a suitable fast modiication of a general look-ahed version of the Lanczos process in order to deal with polynomials expressed in the Chebyshev orthogonal basis. The proposed approach is particularly suited for rational interpolation at Chebyshev points, that is, at the...

2017
Mohammadreza Ahmadi Darani Abbas Saadatmandi

In this paper, we introduce a family of fractional-order Chebyshev functions based on the classical Chebyshev polynomials. We calculate and derive the operational matrix of derivative of fractional order γ in the Caputo sense using the fractional-order Chebyshev functions. This matrix yields to low computational cost of numerical solution of fractional order differential equations to the soluti...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید