Numerical Treatment of Some PDEs

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.

Autorentext

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.