Orthogonal Polynomial Approximations for Solving ODEs: Fractional Pseudospectral Shifted Chebyshev Differentiation Matrices(FPC)

Sayed, Amaal, El-Kady, M., Salah El-Din, M.

ISBN 10: 3844397418 / ISBN 13: 9783844397413

Published by LAP LAMBERT Academic Publishing, 2012

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Bibliographic Details

• Title: Orthogonal Polynomial Approximations for Solving ODEs: Fractional Pseudospectral Shifted Chebyshev Differentiation Matrices(FPC)
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2012
• Language: English
• ISBN 10: 3844397418
• ISBN 13: 9783844397413
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

This work includes a brief summary on differential equations which treated by the numerical solutions ,also it shows the classification of the ordinary differential equations with either integer or fractional order. It introduces powerful idea which is fractional differentiation matrix for solving the ordinary fractional differential equations.Beside, it introduces some numerical examples to confirm the accuracy and also the solution of initial and boundary value problems of fractional differential equations.

About the Author

Assistant lecturer, faculty of Engineering , Modern science and Arts university in 6 october city , Giza, Egypt. I earned M.Sc in numerical analysis, Department of Mathematics,faculty of science, Helwan University in 2012. My research field is the fractional differentiation matrices for solving fractional differential equations.