【摘要】 在有理逼近的紧致格式的理论基础上,采用特别的统一的Pad啨逼近形式,构造了针对高阶非线性发展方程的、简单小模板的差商格式·　不仅保持了格式的四阶精度,而且还可以采用追赶法求解得到的3对角矩阵,或者采用三阶Runge_Kutta法直接求解积分·　计算效果通过多种算例表明是十分令人满意的·　相对于其他差分格式,此方法具有模板较小而精度保持四阶的优点·更多还原

【Abstract】 A set of small-stencil new Padé schemes with the same denominator are presented to solve high_order non_linear evoltuion equations.Using this scheme,the fourth_order precision cannot only be kept,but also the final three_diagonal discrete systems are solved by simple Doolittle methods,or ODE systems by Runge_Kutta technique.Numerical samples show that the schemes are very satisfactory.And the advantage of the schemes is very clear compared to other finite difference schemes.更多还原