WIT Press


Chebyshev Tau Meshless Method Based On The Highest Derivative For Solving A Class Of Two-dimensional Parabolic Problems

Price

Free (open access)

Paper DOI

10.2495/BEM360081

Volume

56

Pages

11

Page Range

81 - 91

Published

2014

Size

810 kb

Author(s)

Wenting Shao & Xionghua Wu

Abstract

We propose a new method for the numerical solution of a class of twodimensional parabolic problems. Our algorithm is based on the use of the Alternating Direction Implicit (ADI) approach in conjunction with the Chebyshev tau meshless method based on the highest derivative (CTMMHD). CTMMHD is applied to solve the set of one-dimensional problems resulting from operator-splitting at each time-stage. CTMMHD-ADI yields spectral accuracy in space and second order in time. Several numerical experiments are implemented to verify the efficiency of our method. Keywords: Chebyshev tau meshless method, the highest derivative, Alternating Direction Implicit, convection-diffusion problems, variable coefficients, nonlinear parabolic problems.

Keywords

Chebyshev tau meshless method, the highest derivative, Alternating Direction Implicit, convection-diffusion problems, variable coefficients, nonlinear parabolic problems