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A class of three-level explicit schemes with higher stability properties for a dispersive equation ut=auxxx

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Abstract

In this paper, a class of three level explicit schemes for a dispersive equation ut=auxxx with stability condition |r|=|α|Δt/(Δx)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|≤0.701659 in [3], and |r|≤1.1851 in [4].

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  1. Fuzhou University, Fuzhou

    Lin Peng-cheng

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  1. Lin Peng-cheng
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Communicated by Lin Zong-chi

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Peng-cheng, L. A class of three-level explicit schemes with higher stability properties for a dispersive equation ut=auxxx . Appl Math Mech 9, 859–864 (1988). https://doi.org/10.1007/BF02465729

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  • DOI: https://doi.org/10.1007/BF02465729

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