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The Most Efficient Method to Numerically Compute the Scalar Solution of the Steady State Riccati Equation.

机译：数值计算稳态Riccati方程标量解的最有效方法。

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作者
Repperger, D. W.;
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年度 1976
页码 1-8
总页数 8
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Riccati equation; Solutions(General); Numerical analysis; Matrix theory;

机译：Riccati方程;解（通用）;数值分析;矩阵理论;

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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. An efficient method for computing steady state solutions with Gillespie's direct method [J] . Mauch S., Stalzer M. The Journal of Chemical Physics . 2010,第14期

机译：用吉莱斯普直接法计算稳态解的有效方法
3. An efficient and general numerical method to compute steady uniform vortices [J] . Luzzatto-Fegiz P., Williamson C.H.K. Journal of Computational Physics . 2011,第17期

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4. An immuno-inspired approach to find the steady state solution of Riccati equations not solvable by Schur method [C] . Giesbrecht Mateus, Bottura Celso Pascoli IEEE Congress on Evolutionary Computation . 2010

机译：用免疫启发方法找到Schur方法无法解决的Riccati方程的稳态解
5. Fundamental solution based numerical methods for three dimensional problems: Efficient treatments of inhomogeneous terms and hypersingular integrals [D] . Lee, Cheuk Yu. 2016

机译：基于三维问题的基本解数值方法：非齐次项和超奇异积分的有效处理
6. An efficient method for computing steady state solutions with Gillespie’s direct method [O] . S. Mauch, M. Stalzer -1

机译：用吉莱斯皮直接法计算稳态解的有效方法
7. Exponentially fitted one-step methods for the numerical solution of the scalar Riccati equation [O] . Carroll John 1986

机译：标量Riccati方程数值解的指数拟合一步法

The Most Efficient Method to Numerically Compute the Scalar Solution of the Steady State Riccati Equation.

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