Variational Iteration Method for Construction of Some Compact and Noncompact Structures of Klein-Gordon Equations

Elcin Yusufoglu

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Variational Iteration Method for Construction of Some Compact and Noncompact Structures of Klein-Gordon Equations

机译：构造Klein-Gordon方程的一些紧致和非紧致结构的变分迭代方法

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摘要

The variational iteration method is applied to obtain compact and solitary solutions of Klein-Gordon equation. Comparison with Adomian's decomposition method (ADM) reveals that the method is more effective and leads to faster convergent series to its exact solution. Its remarkable accuracy is demonstrated by some examples.

机译：应用变分迭代法获得Klein-Gordon方程的紧致和孤立解。与Adomian分解方法（ADM）的比较表明，该方法更有效，并且可以更快地收敛到其精确解的级数。一些实例证明了其卓越的准确性。

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《International journal of nonlinear sciences and numerical simulation》 |2007年第2期|共6页
作者
Elcin Yusufoglu;
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正文语种 eng
中图分类数值分析;
关键词
Variational iteration method; Adomian decomposition method; Lagrange multiplier; Klein-Gordon equation;

机译：变分迭代法;Adomian分解法;拉格朗日乘数;Klein-Gordon方程;

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1. Variational Iteration Method for Construction of Some Compact and Noncompact Structures of Klein-Gordon Equations [J] . Elcin Yusufoglu International journal of nonlinear sciences and numerical simulation . 2007,第2期

机译：构造Klein-Gordon方程的一些紧致和非紧致结构的变分迭代方法
2. 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。
3. Modified Laplace Variational Iteration Method for Analytical Approach of Klein-Gordon and Sine-Gordon Equations [J] . Nadeem Muhammad, Li Fengquan Iranian Journal of Science and Technology . 2019,第4期

机译：修正的Laplace变分迭代法用于Klein-Gordon和Sine-Gordon方程的解析方法
4. Variational Iteration Method to Deal with Time Delay Differential Equations under Uncertainty Conditions [C] . T.L. Yookesh, E.D. Boobalan, T.P. Latchoumi International Conference on Emerging Smart Computing and Informatics . 2020

机译：不确定条件下时滞微分方程的变分迭代法
5. A Family of Hybrid Parallel Block Jacobi-Type Iterative Methods & a Novel Green's Function Algorithm for Massively Parallel Solution of the Neutron Transport Equation on Unstructured Grids [D] . Hoagland, Dylan Scott. 2020

机译：一种混合平行块Jacobi型迭代方法和一种新型绿色功能算法，用于非结构化网格上的中子输送方程的大规模平行溶液
6. Couple of the Variational Iteration Method and Fractional-Order Legendre Functions Method for Fractional Differential Equations [O] . Fukang Yin, Junqiang Song, Hongze Leng, -1

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7. The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions [O] . Mehmet Tarik Atay, Okan Kilic 2013

机译：通过使用变分迭代方法和改进的变分迭代方法与精确解决方案的变分迭代方法，对常微分方程刚性系统的半显态解

Variational Iteration Method for Construction of Some Compact and Noncompact Structures of Klein-Gordon Equations

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