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 ut=auxxx[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 ut=auxxx

  • Received Date: 1987-06-03
  • Publish Date: 1988-09-15
  • In this paper, a class of three level explicit schemes for a dispersive equation ut =auxxx 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].
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    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.
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