The chebyshev collocation method
網頁(Titus Petrila, zbMATH, Vol. 1266, 2013), From the reviews: "This book presents topics that guide the reader through various stages of the Chebyshev-spectral method to solve transport problems. ... The book is written for the typical graduate student in engineering, or even for the physicist, that enjoys working with pencil and paper, and who wishes to use … 網頁The purpose of this study is to apply the Chebyshev collocation method to linear second-order partial differential equations PDEs under the most general conditions. The method is
The chebyshev collocation method
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網頁2024年4月10日 · The goal of this research is to provide an effective technique for finding approximate solutions to the Fredholm integral problems of second kind using the … 網頁2024年11月1日 · A Chebyshev collocation method for the eigenvalue analysis of the fully intrinsic equations of geometrically exact beams has been presented. The intrinsic …
網頁2024年5月30日 · Saw and Kumar presented a Chebyshev collocation method for solving a class of time fractional convection-diffusion with variable coefficients that is a special … 網頁In this study, Chebyshev collocation method is investigated for the approximate computation of higher Sturm-Liouville eigenvalues by a truncated Chebyshev series. Using the Chebyshev collocation points, this method transform the Sturm-Liouville problems ...
網頁2024年7月28日 · This paper deals with the numerical solution for a class of time-fractional diffusion equations (TFDE). The fractional time derivative is considered in the Caputo … 網頁2024年12月1日 · In this paper, a Chebyshev-collocation spectral method is developed for Volterra integral equations (VIEs) of second kind with weakly singular kernel. We first change the equation into an equivalent VIE so that the solution of the new equation possesses better regularity. The integral term in the resulting VIE is approximated by …
網頁Furthermore, results of the CPU time usage are shown for several different algorithms for computing the derivative by the Chebyshev collocation method for a wide variety of two-dimensional grid sizes on both an IBM mainframe and a Cray 2 computer. We find that ...
網頁2024年3月28日 · The population balance equation (PBE) is the main governing equation for modeling dynamic crystallization behavior. In the view of mathematics, PBE is a convection–reaction equation whose strong hyperbolic property may challenge numerical methods. In order to weaken the hyperbolic property of PBE, a diffusive term … powerdirector rotate video網頁2014年1月1日 · The collocation method is more reliable than deriving a banded Galerkin matrix by means of recurrence relations; the pseudospectral code is simple to check, whereas it is easy to make an intestable mistake with the intricate algebra required for the … towncentre westlakehousing.com網頁2008年2月1日 · In this paper, we derive the so-called Chebyshev–Legendre method for a class of optimal control problems governed by ordinary differential equations. We use … town centre uk網頁2001年8月1日 · The Chebyshev-collocation method is briefly presented in a manner favorable for solving ODEs in geophysics depending on geocentric distance and singular … town centre west stockport網頁The Chebyshev spectral collocation method is used to solve (1). After the spatial discretization of the equation (1), we obtain the nonlinear ordinary differential equations (ODEs). The time discretization method can usually be divided into two categories: one is the method of explicit methods such as Runge-Kutta method, linear multi-step method … town centre west uxbridge網頁2024年4月5日 · Numerical solution of a class of Caputo–Fabrizio derivative problem using Haar wavelet collocation method @article{Dehda2024NumericalSO, title={Numerical … town centre webcam網頁2004年4月1日 · A matrix method, which is called the Chebyshev-matrix method, for the approximate solution of linear differential equations in term of Chebyshev collocations is presented. The method is based on first taking the truncated Chebyshev series of the functions in equation and then substituting their matrix forms into the given equation. … powerdirector shadow files