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一个改进的求解常微分方程的四阶方法
Improvement of the Fourth Order Rule for Sloving Ordinary Differential Equations
【摘要】 给出了一个求解常微分方程初值问题y'=f(x,y),y(x0)=y0的改进的四阶方法,不用迭代,而是利用非迭代的修正的方法,使之校正1次就能达到预期的精度,弥补了不进行迭代带来的损失误差。
【Abstract】 In this paper, the fourth order single step rule was put out for solving the initial val-ue problem: y’ = f(x, y ), y (x0) =Y0 on ordinary differential equations by using revisorymethod other than iterative method while the expected precision could be attained by using onlyone revision, so that the lost error caused by not using iterative method were remedied.
【关键词】 常微分方程;
初值问题;
四阶方法;
改进方法;
【Key words】 Ordinary differential equation; Initial value problem; Fourth order rule; Improved method;
【Key words】 Ordinary differential equation; Initial value problem; Fourth order rule; Improved method;
- 【文献出处】 河北农业大学学报 ,JOURNAL OF AGRICULTURAL UNIVERSITY OF HEBEI , 编辑部邮箱 ,1998年04期
- 【分类号】O175.1
- 【被引频次】3
- 【下载频次】137