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Volume 14 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(3): 219-223

Li Yi. Four-Point Explicit Difference Schemes for the Dispersive Equation[J]. Applied Mathematics and Mechanics, 1993, 14(3): 219-223.

Citation:

Li Yi. Four-Point Explicit Difference Schemes for the Dispersive Equation[J]. Applied Mathematics and Mechanics, 1993, 14(3): 219-223.

Li Yi. Four-Point Explicit Difference Schemes for the Dispersive Equation[J]. Applied Mathematics and Mechanics, 1993, 14(3): 219-223.

Citation:

Li Yi. Four-Point Explicit Difference Schemes for the Dispersive Equation[J]. Applied Mathematics and Mechanics, 1993, 14(3): 219-223.

Four-Point Explicit Difference Schemes for the Dispersive Equation

Li Yi

Department of Mathematics, Sichuan University, Chenydu

Publish Date: 1993-03-15

Abstract

A class of three-level explicit difference schemes for the dispersive equation ut=auxxx tare established.These schemes have higher stability and involve four mesh points at the middle level.Their local truncation errors are O(t+h) and stability conditions are from |R|≤0.25 to|R|≤10,where|R|=|a|ι/h³,which is much better than|R|≤0.25^[1].
- dispersive equation,
- four-point explicit difference scheme,
- higher stability

References

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[8]	黎益,关于色散方程u_t=au_xxx的三层显式差分格式,四川大学学报(自然科学版),25(3)(1988),298-306.
[9]	黎益、武蔚文,色散方程的显式差分格式,重庆大学学报,(3)(1990),
[10]	Richtmyer,R.D.and K.W.Morton,Difference Methods for Initial-Value Problems,John Wiley and Sons(1967),68-90.
[11]	Li Yi A class of three-level explicit difference scheme.

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