Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs | Pseudospectral Chebyshev Differentiation Matrices

Descripción:

Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs | Pseudospectral Chebyshev Differentiation Matrices | M. Khalil (u. a.) | Taschenbuch | 104 S. | Englisch | 2012 | LAP LAMBERT Academic Publishing | EAN 9783659268151 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. N° de ref. del artículo 106212961

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Sinopsis:

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.