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

ISBN-13: 9783659268151 / Angielski / Miękka / 2012 / 104 str.

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

Opis

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.

O autorze

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.