| 常微分方程近似解的遗传算法研究 |
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| 引用本文： | 庄思发.常微分方程近似解的遗传算法研究[J].韶关学院学报,2012,33(10):10-14. |
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| 作者姓名： | 庄思发 |
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| 作者单位： | 韶关学院数学与信息科学学院,广东韶关,512005 |
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| 摘 要： | 讨论了利用遗传算法研究常微分方程初值问题的近似解的求解方法.研究了利用多项式逼近微分方程近似解的方法,并用遗传算法控制各项系数以达到最佳逼近效果,经实验证明该方法数值精度比较理想,且优于通常的数值解.
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| 关 键 词： | 遗传算法 常微分方程 近似解 |
Approximate solution of normal differential equation with genetic algorithm |
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| ZHUANG Si-fa.Approximate solution of normal differential equation with genetic algorithm[J].Journal of Shaoguan University(Social Science Edition),2012,33(10):10-14. |
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| Authors: | ZHUANG Si-fa |
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| Institution: | ZHUANG Si-fa (College of Mathematics and Information Sciences,Shaoguan University,Shaoguan 512005,Guangdong,China) |
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| Abstract: | In this paper, we use the genetic algorithm to search the approximate solutions of normal differential equation. We use the polynomial to approximate the real solve of the equation and select the optimized coefficients by Genetic Algorithm. The result proves the method is better than some numerical solution methods and the numerical precision is quite acceptable. |
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| Keywords: | genetic algorithm normal differential equation approximate solution |
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