Efficient Improvement of Crank-Nicolson Scheme

ZHANG Xiao-feng, ZHANG Hong-wu. Efficient Improvement of Crank-Nicolson Scheme[J]. Advances in Water Science, 2001, 12(1): 33-38.

Citation:

ZHANG Xiao-feng, ZHANG Hong-wu. Efficient Improvement of Crank-Nicolson Scheme[J]. Advances in Water Science, 2001, 12(1): 33-38.

Citation:

ZHANG Xiao-feng, ZHANG Hong-wu. Efficient Improvement of Crank-Nicolson Scheme[J]. Advances in Water Science, 2001, 12(1): 33-38.

Abstract

Using the undetermined coefficient method developed by authors, accuracy of the Crank-Nicolson scheme is improved effectively.The improved one, named as HAUC2 scheme, is a three order scheme and agrees well with exact solution of pure convection equation.Conservative form of the new scheme is also pressented, which enhances its applicability in the engineering.

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