摘要
A class of three-level explicit difference schemes for the dispersive equationu1=auxxxare established These schemes have higher stability and involve four meshpoints at the middle level.Their local truncation errors are O（τ+h）and stabilityconditions are from|R|≤0.25 to|R|≤10,where|R|=|a|τ/h3,which is muchbetter than|R|≤0.25.
<正> A class of three-level explicit difference schemes for the dispersive equationu1=auxxxare established These schemes have higher stability and involve four meshpoints at the middle level.Their local truncation errors are O（τ+h）and stabilityconditions are from|R|≤0.25 to|R|≤10,where|R|=|a|τ/h3,which is muchbetter than|R|≤0.25.
