Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation

QU Fu-li; WANG Wen-qia

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(7): 869-876

QU Fu-li, WANG Wen-qia. Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation[J]. Applied Mathematics and Mechanics, 2007, 28(7): 869-876.

Citation:

QU Fu-li, WANG Wen-qia. Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation[J]. Applied Mathematics and Mechanics, 2007, 28(7): 869-876.

Citation:

QU Fu-li, WANG Wen-qia. Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation[J]. Applied Mathematics and Mechanics, 2007, 28(7): 869-876.

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Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation

School of Mathematics and System Sciences, Shandong University, Jinan 250100, P. R. China

Received Date: 2006-02-14
Rev Recd Date: 2007-04-16
Publish Date: 2007-07-15

Abstract

Abstract

A group of asymmetric difference schemes to approach the Korteweg-de Vries (KdV) equation was given here. Using the schemes and the full explicit difference scheme and the full implicit difference scheme, the alternating difference scheme for solving the KdV equation was constructed. The scheme is linear unconditionally stable by analysis of linearization procedure, and is used directly on the parallel computer. The numerical experiments show that the method has high accuracy.
- KdV equation,
- intrinsic pallelism,
- alternating segment explicit-implicit difference scheme,
- linearunconditionally stable

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References(14)

References

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