Accuracy and Speed in Computing the Chebyshev Collocation Derivative

Accuracy and Speed in Computing the Chebyshev Collocation Derivative

Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation

In this paper, the Chebyshev spectral collocation method(CSCM) for one-dimensional linear hyperbolic telegraph equation is presented. Chebyshev spectral collocation method have become very useful in providing highly accurate solutions to partial differential equations. A straightforward implementation of these methods involves the use of spectral differentiation matrices. Firstly, we transform ...

Generalized Chebyshev Collocation Method

In this paper, we introduce a generalized Chebyshev collocation method (GCCM) based on the generalized Chebyshev polynomials for solving stiff systems. For employing a technique of the embedded Runge-Kutta method used in explicit schemes, the property of the generalized Chebyshev polynomials is used, in which the nodes for the higher degree polynomial are overlapped with those for the lower deg...

collocation errors in translations of the holy quran

the present study aims at identifying, classifying and analyzing collocation errors made by translators of the holy quran into english.findings indicated that collocationally the most acceptablt translation was done by ivring but the least appropriate one made by pickthall.

Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique

We study a new method in reducing the roundo error in computing derivatives using Chebyshev collocation methods. By using a grid mapping derived by Koslo and Tal-Ezer, and the proper choice of the parameter , the roundo error of the k-th derivative can be reduced from O(N2k) to O((N jln j)k), where is the machine precision and N is the number of collocation points. This drastic reduction of rou...