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Stiff微分方程初值问题的一种数值方法
A NUMERICAL METHOD FOR THE SOLUTION OF INITIAL VALUE PROBLEM OF STIFF DIFFERENTIAL EQUATIONS
【摘要】 本文导出含有稳定参数的stiff微分方程问题的一种数值方法。这里,我们主要推导含有稳定参数s 的二阶和三阶Adams型方法。当s=0时,这种方法只不过是古典的Adams法。我们可以选择参量S,以改进绝对稳定性,即扩大绝对稳定性区域。对于更高阶的方法,可采用类似的方法加以推导。
【Abstract】 In this paper, a numerical method with stable parameter for the solution of Stiff Equations is derived. Here, we chiefly derive the Adams second order and three order method with stable parameter S. When S = O. this numerical method is simply a classical Adams method. We can choose parameter S to improve ab- solute stability, i.e. to extend the region of absolute stability. For a much hig- her order method, the derivation can be made in a similar way.
- 【文献出处】 福州大学学报 ,Journal of Fuzhou University , 编辑部邮箱 ,1981年03期
- 【被引频次】2
- 【下载频次】47