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Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs: Pseudospectral Chebyshev Differentiation Matrices - Tapa blanda

Khalil, M.; El-Kady, M.M.; Bakheet, H.

 
9783659268151: Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs: Pseudospectral Chebyshev Differentiation Matrices
Tapa blanda
ISBN 10: 3659268151 ISBN 13: 9783659268151
Editorial: LAP LAMBERT Academic Publishing, 2012

Sinopsis

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.

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Reseña del editor

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.

Biografía del autor

M. Khalil is working in the faculty of Engineering, MSA University, 6th Oct. city,Giza, Egypt. He earned M.Sc in numerical analysis from the faculty of science,Department of Mathematics, Helwan University in 2009. His research field is the approximate solutions of higher order BVP's.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2012
Idioma
Inglés
ISBN 10 
3659268151
ISBN 13 
9783659268151
Encuadernación
Tapa blanda
Número de páginas
104
Contacto del fabricante
no disponible
Persona responsable
no disponible