The Homptopy Perturbation Method for Solving Singular Initial Value Problems

Ahmet Yildirim; Deniz Agirseven

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The Homptopy Perturbation Method for Solving Singular Initial Value Problems

机译：奇异初值问题的同伦摄动法。

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摘要

In this paper, a class of nonlinear singular initial value problems is solved by homotopy perturbation method. The approximate solution of this problem is calculated in the form of series with easily computable components. Some numerical examples are given to show efficiency and simplicity of the method.

机译：本文用同伦摄动法解决了一类非线性奇异初值问题。该问题的近似解决方案以具有易于计算的组件的级数形式进行计算。给出了一些数值例子来说明该方法的效率和简便性。

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《International journal of nonlinear sciences and numerical simulation》 |2009年第2期|共4页
作者
Ahmet Yildirim; Deniz Agirseven;
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正文语种 eng
中图分类数值分析;
关键词
Homotopy perturbation method; Singular initial value problems;

机译：同伦摄动法;奇异初值问题;

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专利

1. The Homptopy Perturbation Method for Solving Singular Initial Value Problems [J] . Ahmet Yildirim, Deniz Agirseven International journal of nonlinear sciences and numerical simulation . 2009,第2期

机译：奇异初值问题的同伦摄动法。
2. Method for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methods [J] . Fazhan Geng, Minggen Cui, Bo Zhang Nonlinear analysis. Real world applications . 2010,第2期

机译：结合同伦摄动和再现核希尔伯特空间方法求解非线性初值问题的方法
3. On the convergence of continuous-time waveform relaxation methods for singular perturbation initial value problems [J] . Zhao Y., Li L. Journal of applied mathematics . 2012,第Pta9期

机译：奇异摄动初值问题的连续时间波形松弛方法的收敛性
4. Homotopy perturbation method for solving singular linear quadratic optimal control problems [C] . Xi-Qin He, Wen Juan Jia Chinese Control Conference . 2016

机译：奇异线性二次最优控制问题的同伦摄动方法
5. Numerical methods for solving singular perturbation problems appearing in elasticity and radiative transfer. [D] . Losta, Mansor Mohamed. 1989

机译：解决出现在弹性和辐射传递中的奇异摄动问题的数值方法。
6. An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method [O] . Lie-jun Xie, Cai-lian Zhou, Song Xu -1

机译：用改进的微分变换方法解决一类非线性奇异边值问题的有效数值方法
7. Two Initial Value Problems Approach for Solving Singular Perturbations Problems [O] . Awoke Andargie, Yanala Narsimha Reddy 2012

机译：解决奇异摄动问题的两种初值问题方法

The Homptopy Perturbation Method for Solving Singular Initial Value Problems

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