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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(9): 803-808

Lin Peng-cheng. A Class of Three-Level Explicit Schemes with Higher Stability Properties for a Dispersive Equation ut=auxxx[J]. Applied Mathematics and Mechanics, 1988, 9(9): 803-808.

Citation:

Lin Peng-cheng. A Class of Three-Level Explicit Schemes with Higher Stability Properties for a Dispersive Equation u_t=au_xxx[J]. Applied Mathematics and Mechanics, 1988, 9(9): 803-808.

Lin Peng-cheng. A Class of Three-Level Explicit Schemes with Higher Stability Properties for a Dispersive Equation ut=auxxx[J]. Applied Mathematics and Mechanics, 1988, 9(9): 803-808.

Citation:

Lin Peng-cheng. A Class of Three-Level Explicit Schemes with Higher Stability Properties for a Dispersive Equation u_t=au_xxx[J]. Applied Mathematics and Mechanics, 1988, 9(9): 803-808.

A Class of Three-Level Explicit Schemes with Higher Stability Properties for a Dispersive Equation u_t=au_xxx

Lin Peng-cheng

Fuzhou University, Fuzhou

Received Date: 1987-06-03
Publish Date: 1988-09-15

Abstract

In this paper, a class of three level explicit schemes for a dispersive equation u_t =au_xxx with stability condition |r|=|a|△t/(△x)³≤2.382484, are considered. The stability condition for this class of schemes is much better than |r|≤0.3849 in [1], [2] and |r|≤0.701658 in [3], and |r|≤l.1851 in [4].

References

[1]	Zabusky,N.J.and M.Kruskal,Interaction of "Solutions" in a collisionless plasma and the recurrence of initial states,Phy.Rev.Letters,15(1965),240-243.
[2]	秦孟兆,色散方程u_t=au_xxx的差分格式,计算数学,6,1 (1984).1-13.
[3]	黎益、李北杰,关于色散方程u_t=au_xxx的两个显式差分格式,计算数学,8,3 (1986),275-280.
[4]	邬华漠,一类具高稳定性的三层显式格式H₃,计算数学,8,3 (1986),329-331.
[5]	Miller,J.J.H.,On the location of zeros of certain classes of polynomials with application to numerical analysis,J.Inst.Math.Appl.8(1971),397-406.
[6]	Richtmyer,R.D.and K.W.Morton,Difference Method for Initial Value Problems,2nd edi.,Wiley,New York(1976).

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沈阳化工大学材料科学与工程学院沈阳 110142

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