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A New Method to Solve Differential Equations: Lie Series and Their Applications in Physics and Engineering

机译：一种求解微分方程的新方法：Lie系列及其在物理与工程中的应用

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摘要

Contents: Theory of lie series Initial-value problems Boundary-value problems Optimum controle systems.

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作者
Grobner, W.;
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年度 1962
页码 p.1-2
总页数 2
原文格式 PDF
正文语种 eng
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关键词
Differential equations ; Power series ; Numerical methods and procedures ; Austria ; Boundary value problems ; Control systems ; Optimization;

机译：微分方程;幂级数;数值方法和程序;奥地利;边值问题;控制系统;优化;

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1. Power and Chebyshev Series Transformation Formulas with Applications to Solving Ordinary Differential Equations via the Fr&ouml;benius and Taylor’s Methods [J] . Hippolyte Nyengeri, Rénovat Nizigiyimana, Jean-Pierre Mutankana, Open Access Library Journal . 2021,第2期

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2. Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications [J] . Stepien, LT Journal of Computational and Applied Mathematics . 2010,第6期

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3. AN APPLICATION OF ANNS ON POWER SERIES METHOD FOR SOLVING FRACTIONAL FREDHOLM TYPE INTEGRO-DIFFERENTIAL EQUATIONS [J] . AHMAD JAFARIAN, SAFA MEASOOMY NIA Neural, Parallel & Scientific Computations . 2016,第4期

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4. A Numerical Approach to Solve Point Kinetic Equations Using Taylor-Lie Series and the Adomian Decomposition Method [C] . Hag-Tae Kim, Ganduulga, Dong Pyo Hong, FTRA international scientific conference on multimedia and ubiquitous engineering;Workshop on advanced technologies and aplications for cloud computing and sensor networks;FTRA international workshop on pervasive services, systems and intelligence . 2013

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5. ALGORITHMS USING LIE TRANSFORMATION GROUPS TO SOLVE FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS ALGEBRAICALLY. [D] . CHAR, BRUCE WALTER. 1980

机译：使用lie变换组的算法代数求解一阶常微分方程。
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7. Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications [O] . Stępień Łukasz T. 2010

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A New Method to Solve Differential Equations: Lie Series and Their Applications in Physics and Engineering

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