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非线性常微分方程的多项式逼近 被引量:2

Polynomial Approximation of a Nonlinear Ordinary Differential Equation
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摘要 应用最小二乘法得到了非线性常微分方程的多项式逼近,将逼近的阶数提高到三阶以上,并给出了2个数值实例,实例证明该方法有效. The polynomial approximation of nonlinear ordinary differential equation was obtained based on the minimization in the least square sense. The approximation is three order or higher. Finally two examples were given in order to prove the validity of the method.
作者 常晶 刘冬
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2010年第3期367-370,共4页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:J0630104) 吉林大学研究生创新项目基金(批准号:20091020)
关键词 非线性常微分方程 最小二乘 多项式逼近 nonlinear ordinary differential equation least square polynomial approximation
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参考文献7

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