Article ID Journal Published Year Pages File Type
4630033 Applied Mathematics and Computation 2012 7 Pages PDF
Abstract

In this paper, a compact predictor–corrector finite difference scheme is proposed to solve the Burgers’ equation. The scheme is based on compact derivatives approximation, by which we get the spatial approximations of first-order derivatives and second-order derivatives with fourth-order accuracy (both for inner nodes and boundary nodes). For the first time derivative item, a two-step predictor–corrector method called MacCormack method is used. Numerical experiments show the scheme is in good agreement with the exact solutions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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