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Blending Curves for Landing Problems by Numerical Differential Equations, III. Separation Techniques

机译：用数值微分方程对着陆问题的混合曲线，III。分离技术

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Hung-tsai Huang; Zi-cai Li;
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年度 2015
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1. In this paper, we implement the fractional complex transform method to convert the nonlinear fractional Klein-Gordon equation (FKGE) to an ordinary differential equation. We use the variational iteration method (VIM) to solve the resulting ODE. The fractional derivatives are presented in terms of the Caputo sense. Some numerical examples are presented to validate the proposed techniques. Finally, a comparison with the numerical solution using Runge-Kutta of order four is given. [J] . M. M. Khader, M. Adel Nonlinear engineering: Modeling and application . 2016,第3期

机译：在本文中，我们采用分数阶复杂变换方法将非线性分数阶Klein-Gordon方程（FKGE）转换为常微分方程。我们使用变分迭代方法（VIM）来解决所得的ODE。分数导数以Caputo形式表示。提出了一些数值例子来验证所提出的技术。最后，与使用四阶Runge-Kutta的数值解进行了比较。
2. Numerical solution of fractional partial differential equations by numerical Laplace inversion technique [J] . Mohammad Javidi, Bashir Ahmad Advances in Difference Equations . 2013,第1期

机译：分数阶偏微分方程数值拉普拉斯反演的数值解
3. Numerical Solution of Arbitrary-Order Ordinary Differential and Integro-Differential Equations with Separated Boundary Conditions Using Optimal Control Technique [J] . Zarepour M., Loghmani G.B. Journal of Optimization Theory and Applications . 2012,第3期

机译：边界条件分离的任意阶常微分与积分微分方程的最优控制解
4. New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense [C] . Mehmet Yavuz, Necati OEzdemir International conference on non-integer order calculus and its applications . 2019

机译：用于求解形状易感性分数局部微分方程的新数值技术
5. Numerical Techniques for the Solution of Partial Differential and Integral Equations on Irregular Domains with Applications to Problems in Electrowetting. [D] . Young, Patrick McKendree. 2010

机译：不规则域上偏微分和积分方程解的数值技术及其在电润湿问题中的应用。
6. A numerical technique for linear elliptic partial differential equations in polygonal domains [O] . P. Hashemzadeh, A. S. Fokas, S. A. Smitheman -1

机译：多边形域中线性椭圆型偏微分方程的数值技术
7. Blending curves for landing problems by numerical differential equations II. Numerical methods [O] . Li Zi-Cai, Huang Hung-Tsai 2000

机译：通过数值微分方程II绘制着陆问题的混合曲线。数值方法

Blending Curves for Landing Problems by Numerical Differential Equations, III. Separation Techniques

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