TY - GEN
T1 - Chebyshev tau meshless method based on the highest derivative for solving a class of two-dimensional parabolic problems
AU - Shao, Wenting
AU - Wu, Xionghua
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - Alternating direction implicit
KW - Chebyshev tau meshless method
KW - Convection-diffusion problems
KW - Nonlinear parabolic problems
KW - The highest derivative
KW - Variable coefficients
UR - http://www.scopus.com/inward/record.url?scp=84896101428&partnerID=8YFLogxK
U2 - 10.2495/BEM360081
DO - 10.2495/BEM360081
M3 - Conference Proceeding
AN - SCOPUS:84896101428
SN - 9781845648411
T3 - WIT Transactions on Modelling and Simulation
SP - 81
EP - 91
BT - Boundary Elements and other Mesh Reduction Methods XXXVI
PB - WITPress
T2 - 36th International Conference on Boundary Elements and other Mesh Reduction Methods, BEM/MRM 2013
Y2 - 22 October 2013 through 24 October 2013
ER -