Chebyshev Tau Meshless Method Based On The
Highest Derivative For Solving A Class Of
Two-dimensional Parabolic Problems
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
Related Book
Other papers in this volume
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