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Original Articles

Segment explicit-implicit difference method on nonuniform mesh for parabolic equation with discontinuous coefficientsFootnote

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Pages 133-152 | Received 15 Jan 1996, Accepted 25 Mar 1997, Published online: 19 Mar 2007
 

Abstract

In this paper, the convergence of the segment explicit-implicit difference scheme on a nonuniform mesh for parabolic equation with discontinuous coefficients is discussed. The truncation error on each net point is O(1), but the solution of the scheme tends to the solution of the parabolic equation in the sense of the maximum norm and the rate of convergence is O(τ + h). Moreover, the numerical flux of the difference scheme tends to the flux of the differential equation in the mean, and the rate of convergence is also O(τ + h).

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The project is supported by the Fundation of CAEP.

The project is supported by the Fundation of CAEP.

Notes

The project is supported by the Fundation of CAEP.

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