Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs
Автор:M.Khalil,M.M.El-Kady and H.Bakheet Год: 2012 Издание:
LAP Lambert Academic Publishing Страниц: 104 ISBN: 9783659268151 This work presents the Chebyshev spectral collocation method for solving higher-order boundary value problems based on ordinary differential equations. This method depends on using the higher-order pseudospectral differentiation matrices by using an explicit formula for higher-order derivatives of Chebyshev polynomials. Numerical examples of third-order, fourthorder,fifth-order, sixth-order, eighth-order, tenth-order and twelfth order boundary value problems are presented. Numerical experiments and comparisons with other methods are performed to demonstrate the high precision and efficiency of the proposed method. Differentiation matrices are employed to illustrate the proposed method.