Numerical solution of the controlled Duffing oscillator by semi-orthogonal spline wavelets

Lakestani M; Razzaghi M; Dehghan M

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Numerical solution of the controlled Duffing oscillator by semi-orthogonal spline wavelets

机译：半正交样条小波对受控Duffing振荡器的数值解

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This paper presents a numerical method for solving the controlled Duffing oscillator. The method can be extended to nonlinear calculus of variations and optimal control problems. The method is based upon compactly supported linear semi-orthogonal B-spline wavelets. The differential and integral expressions which arise in the system dynamics, the performance index and the boundary conditions are converted into some algebraic equations which can be solved for the unknown coefficients. Illustrative examples are included to demonstrate the validity and applicability of the technique.

机译：本文提出了一种求解受控Duffing振荡器的数值方法。该方法可以扩展到变量的非线性演算和最优控制问题。该方法基于紧密支持的线性半正交B样条小波。将系统动力学，性能指标和边界条件中出现的微分和积分表达式转换为一些代数方程，可以求解未知系数。包括说明性示例以证明该技术的有效性和适用性。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2006年第3期|共5页
作者
Lakestani M; Razzaghi M; Dehghan M;
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正文语种 eng
中图分类物理学;
关键词
INTEGRAL-EQUATIONS; NONLINEAR MEDIUM; PROPAGATION; SYSTEMS;

机译：积分方程;非线性介质;传播;系统;

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专利

1. Numerical solution of the controlled Duffing oscillator by semi-orthogonal spline wavelets [J] . Lakestani M, Razzaghi M, Dehghan M Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2006,第3期

机译：半正交样条小波对受控Duffing振荡器的数值解
2. A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions [J] . J.A. Rad, S. Kazem, K. Parand Computers & mathematics with applications . 2012,第6期

机译：基于径向基函数的非线性受控Duffing振荡器的数值解
3. Numerical solution of the controlled duffing oscillator by the interpolating scaling functions [J] . Shamsi M, Razzaghi M Journal of Electromagnetic Waves and Applications . 2004,第5期

机译：插值比例函数对受控Duffing振荡器的数值解
4. Spline-based nonlinear controller for the Duffing oscillator [C] . Karimi, A., Feliachi, . 2003

机译：基于样条的Duffing振荡器非线性控制器
5. Spline-wavelets in numerical solutions of differential equations. [D] . Al-Humaidi, Bader Ahmed. 2001

机译：样条小波在微分方程数值解中的应用。
6. Semi-orthogonal Frame Wavelets and Parseval Frame Wavelets Associated with GMRA [O] . Zhanwei Liu, Guoen Hu, Guochang Wu, -1

机译：与GMRA相关的半正交小波和Parseval框架小波
7. Numerical solution of the controlled Duffing oscillator by semi-orthogonal spline wavelets [O] . M Lakestani, M Razzaghi, M Dehghan 2006

机译：半正交样条小波控制Duffing振荡器的数值解
8. Semi-orthogonal wavelets for elliptic variational problems [R] . Hardin, D. P. , Roach, D. W. 1998

机译：椭圆变分问题的半正交小波

Numerical solution of the controlled Duffing oscillator by semi-orthogonal spline wavelets

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