【摘要】 本文给出了色散方程ut=auxxx的一种带一个参数的三层显示差分格式。其截断误差为o(τ+h3),空间宽度为4,稳定性范围为0<r 14。到目前为止,这是具最高精度最简单的格式,其后的数值例子证明了理论分析的结果。更多还原

【Abstract】 A kind of three level explicit difference scheme with one parameter for the dispersion equation U_t=au_xxx is proposed by this paper. The truncation errors of the scheme are first order in time and third order in space. Four net points are in the space width and its stability condition is 0<r14. At present, it is the perfect three-level explicit difference scheme with good accuracy and simple scheme, and the numerical examples here examine the result of theoretical analysis.更多还原