A note on the extension of t chebyshev method to quasi linear parabolic p.d.e.s with mixed boundary conditions

Abstract

Dew [1] proposed a method for computing the numerical solution to quasi-linear parabolic p.d.e.s using a Chebyshev method. The purpose of this note is to extend the method to problems with mixed boundary conditions. An error analysis for the linear problem is given and a global element Chebyshev method is described.

Keywords:

• Parabolic pd.e
• quasi-linear
• chebyshev method

C.R. Categories:

• 5.17