Numerical Treatment of Some PDEs - via Spectral and Spline Collocation Methods

In this book we present a mixed spectral/spline approach to solve the generalized Burger's equation. The method is based on a Chebyshev spectral approximation in combination with 3-point spline collocation methods. The proposed method is accomplished by starting with Chebyshev spectral approximation for the highest-order derivative in the x-direction and generating approximations to the lower-order derivatives in the x-direction through successive integration of the highest-order derivative.

About the author

The author was born in Sohag, Egypt. He received the B.Sc. in Mathematics (1996). The general grade was "Very Good with a honor degree" from Mathematics Department, Faculty of Science, Al-AzharUniversity, Assuit Branch, Egypt.

Product details

• Authors: Essam O Abdel-Rahman, Essam O. Abdel-Rahman
• Publisher: LAP Lambert Academic Publishing
• Languages: English, German
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9783659623189
• ISBN: 978-3-659-62318-9
• No. of pages: 112
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis