Talk:PlanetPhysics/Methods of Solving ODE

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%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: methods of solving ODE %%% Primary Category Code: 02.30.Hq %%% Filename: MethodsOfSolvingODE.tex %%% Version: 1 %%% Owner: invisiblerhino %%% Author(s): invisiblerhino %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

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There are many different methods of solving \htmladdnormallink{ordinary differential equations}{http://planetphysics.us/encyclopedia/DifferentialEquations.html} that occur in physics. These are tabulated here and divided into \htmladdnormallink{sections}{http://planetphysics.us/encyclopedia/IsomorphicObjectsUnderAnIsomorphism.html} for linear and non-linear ODEs. These sections are further subdivided into exact, numerical and quantitative methods.

\section{Linear ODEs} \subsection{Exact methods} \begin{itemize} \item General solution of linear \htmladdnormallink{differential equation}{http://planetphysics.us/encyclopedia/DifferentialEquations.html} \item Linear differential equation of first order \item Method of \htmladdnormallink{separation of variables}{http://planetphysics.us/encyclopedia/SeparationOfVariables.html} \item Method of integrating factors \item Method of undetermined coefficients \item \htmladdnormallink{Frobenius' method}{http://planetphysics.us/encyclopedia/FrobeniusMethod.html} \item Method of Green's \htmladdnormallink{functions}{http://planetphysics.us/encyclopedia/Bijective.html} \end{itemize} \subsection{Numerical methods} \begin{itemize} \item Runge-Kutta method \item Heun method \item \htmladdnormallink{Rayleigh-Ritz method}{http://planetphysics.us/encyclopedia/RayleighRitzMethod.html} \item Monte Carlo methods \end{itemize} \subsection{Quantitative methods} \section{Non-linear ODEs}

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