| 关于几种常用一阶常微分方程数值解法的导出 |
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| 引用本文： | 张燕新,李娟. 关于几种常用一阶常微分方程数值解法的导出[J]. 常州工学院学报, 2010, 23(6): 65-68 |
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| 作者姓名： | 张燕新 李娟 |
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| 作者单位： | 常州大学数理学院,江苏,常州,213164;常州信息职业技术学院学报编辑部,江苏,常州,213164 |
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| 摘 要： | 文章主要给出一阶常微分方程初值问题数值解法的几种导出途径。按照这些途径,导出了求解微分方程初值问题的几种常见方法,如:欧拉法、改进欧拉法、梯形法、龙格—库塔法、阿当姆斯公式。由此达到理顺并建立各种数值方法之间的内在联系,有利于提高学生对这部分教学内容的理解和掌握,达到提高教学质量的目的。
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| 关 键 词： | 微分方程 数值解 线性多步 |
The Analysis on the Deducetion of Numerical Solution for Common First-order Differential Equations |
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| ZHANG Yan-xin,LI Juan. The Analysis on the Deducetion of Numerical Solution for Common First-order Differential Equations[J]. Journal of Changzhou Institute of Technology, 2010, 23(6): 65-68 |
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| Authors: | ZHANG Yan-xin LI Juan |
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| Affiliation: | ZHANG Yan-xin1 LI Juan2(1.School of Mathematics & Physics,Changzhou University,Changzhou 213164,2.Editorial Department of Journal,Changzhou College of Information Technology,Changzhou 213164) |
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| Abstract: | Various deduction means of the numerical solution for ordinary differential equations with initial value are discussed in this paper.According to these ways,some common methods for first ordinary differential equations with initial value are obtained,such as Euler Method,Modified-Euler Method,Trapezoid Method,Runge-Kutta Method and Admas Method.Through these getways,we rationalize and establish the inner relationship among these numerical methods.It is beneficial for students to master the knowledge concern... |
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| Keywords: | differential equations numerical solution Linear Multi-Steps |
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