Parameter Continuation Method for Ordinary Differential Equations

Parameter Continuation Method for Ordinary Differential Equations
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常微分方程的参数延拓法

DOI:
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发表时间:
2000
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通讯作者:
V. G. Vetekha
V. G. Vetekha
中科院分区:
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文献类型:
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作者:
V. G. Vetekha

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本文致力于应用参数连续法求解二阶常微分方程(DE)的边值问题。对于所研究的DE,解的先验估计和近似解是基于参数连续方法获得的。近似解的误差基于与所研究的边值问题相对应的积分方程的矫顽力。
The article is devoted to the application of parameter continuation method to solving the boundary value problem for the ordinary differential equations (DE) of second order. For the investigated DE the a priori estimate of the solution and the approximate solution are received on the basis of parameter continuation method. The error of the approximate solution is based on the coerciveness of the integral equation corresponding to the investigated boundary value problem.