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Investigation of numerical integration techniques with applications to the numerical solution of differential equations

机译：数值积分技术的研究及其在微分方程数值解中的应用

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Call number: LD2668 .R4 1964 F755

机译：电话号码：LD2668 .R4 1964 F755

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Foster Larry Dan.;
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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. A two-loop sparse matrix numerical integration procedure for the solution of differential/algebraic equations: Application to multibody systems [J] . Shabana A.A., Hussein B.A. Journal of Sound and Vibration . 2009,第3a5期

机译：两环稀疏矩阵数值积分程序，用于求解微分/代数方程：在多体系统中的应用
3. 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
4. Numerical integration methods based on variation diminishing polynomial approximation for the solution of algebraic differential equations in the context of circuit simulation [C] . Yanilmaz, M. . 1990

机译：电路仿真中基于变分多项式逼近的代数微分方程解的数值积分方法
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. Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet [O] . Rohul Amin, Kamal Shah, Muhammad Asif, 2020

机译：哈尔小波延迟Volterra-Fredholm整体方程的高效数值技术
7. Numerical Techniques for the Solution of Partial Differential and Integral Equations on Irregular Domains with Applications to Problems in Electrowetting [O] . 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
8. Comparison of numerical techniques for integration of stiff ordinary differential equations arising in combustion chemistry [R] . Radhakrishnan, K. 1984

机译：燃烧化学中出现的刚性常微分方程积分的数值方法比较

Investigation of numerical integration techniques with applications to the numerical solution of differential equations

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