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Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs

Name: Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs
Brand: LAP Lambert Academic Publishing
SKU: 06984580
Price: 43.85 EUR
Availability: InStock
Author: M. Khalil
ISBN: 9783659268151

Pseudospectral Chebyshev Differentiation Matrices

M. Khalil

M. M. El-Kady

H. Bakheet

Language

English

Book Paperback

Libristo code: 06984580

Publishers LAP Lambert Academic Publishing, November 2011

This work presents the Chebyshev spectral collocation method for solving higher-order boundary value... Full description

Libristo code: 06984580

106 b

43.85 €

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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.