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A higher accurate compact difference scheme on non-uniform grid
Author(s): 
Pages: 31-35,40
Year: Issue:  4
Journal: Journal of Northwest Normal University(Natural Science)

Keyword:  non-uniform gridcompact difference schemenumerical solutionBurgers equationconvetion equation;
Abstract: A third-point fourth-order compact difference scheme is proposed on the non-uniform grid , which is simple in form , flexible in grid subdivision and general in use . The truncation error of the scheme is analyzed . The Burgers equation and the convection equation are solved numerically by using present scheme , the numerical solutions are compared with those obtained from the standard third-point fourth-order compact difference scheme on the uniform grid ,and the results show that the present scheme have higher accuracy for large gradient problems .
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