Abstract
A class of three-level explicit difference schemes for the dispersive equation u1=auzzz are established. These schemes have higher stability and involve four mesh points at the middle level. Their local truncation errors are O(τ+h) and stability conditions are from |R|≤0.25 to |R|≤10, where |R|=|a|τ/h3, which, is much better than |R|≤0.25[1].
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Li Yi. A class of three-level explicit difference scheme (to appear)
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Communicated by Chien Wei-zang
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Yi, L. Four-point explicit difference schemes for the dispersive equation. Appl Math Mech 14, 235–239 (1993). https://doi.org/10.1007/BF02451407
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DOI: https://doi.org/10.1007/BF02451407