文件名称:Runge-KuttaC++
- 所属分类:
- 数学计算/工程计算
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- [Text]
- 上传时间:
- 2012-11-26
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- 1kb
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在使用龙格-库塔(RK)方法对连续系统进行数字仿真时,为了保证数值计算的稳定性以及仿真结果具有足够的精度,通常采用变步长策略。为了有效地解决变步长仿真计算过程中,输出节点与计算节点不相吻合的问题,该文在前人工作的基础上,提出了一个具有大稳定域的四阶连续RK公式对。该公式对在不增加微分方程的右端函数值的计算次数的前提下,可以给出积分步距中任意一点上的数值解,因而具有更大的应用价值。仿真结果表明,该公式对是有效可行的。
-In the use of Runge- Kutta (RK) methods for continuous system for digital simulation, in order to guarantee the stability of numerical calculation and simulation results have sufficient accuracy, usually variable step strategy. In order to effectively solve variable step simulation process, the output nodes and computing nodes does not correspond to the problem, the text in the previous work on the basis of a large stable region for the fourth-order RK formula right. The formula on the right side not to increase the differential equations to calculate the number of functions under the premise can be given integral step in any point on the numerical solution, which has a greater application value. Simulation results show that the formula is feasible and effective.
-In the use of Runge- Kutta (RK) methods for continuous system for digital simulation, in order to guarantee the stability of numerical calculation and simulation results have sufficient accuracy, usually variable step strategy. In order to effectively solve variable step simulation process, the output nodes and computing nodes does not correspond to the problem, the text in the previous work on the basis of a large stable region for the fourth-order RK formula right. The formula on the right side not to increase the differential equations to calculate the number of functions under the premise can be given integral step in any point on the numerical solution, which has a greater application value. Simulation results show that the formula is feasible and effective.
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Runge-KuttaC++.txt