differential-equations method

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• Examples of differential equations — Differential equations arise in many problems in physics, engineering, etc. The following examples show how to solve differential equations in a few simple cases when an exact solution exists. eparable first order linear ordinary differential… …   Wikipedia

• Numerical ordinary differential equations — Illustration of numerical integration for the differential equation y = y,y(0) = 1. Blue: the Euler method, green: the midpoint method, red: the exact solution, y = et. The step size is h = 1.0 …   Wikipedia

• Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… …   Wikipedia

• Numerical partial differential equations — is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). Numerical techniques for solving PDEs include the following: The finite difference method, in which functions are represented by… …   Wikipedia

• List of nonlinear partial differential equations — In mathematics and physics, nonlinear partial differential equations are (as their name suggests) partial differential equations with nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and… …   Wikipedia

• List of dynamical systems and differential equations topics — This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations. Contents 1 Dynamical systems, in general 2 Abstract dynamical systems 3 …   Wikipedia

• List of solution strategies for differential equations — Exact= * Method of undetermined coefficients * Integrating factor:For y +a(x)y = b(x) let M(x)=exp{int a(x),dx} then::y(x) = frac{int b(x) M(x), dx + C}{M(x)}., * Method of variation of parameters * Separable differential equationNumerical… …   Wikipedia

• Method of moments — may refer to: Method of moments (statistics), a method of parameter estimation in statistics Method of moments (probability theory), a way of proving convergence in distribution in probability theory Second moment method, a technique used in… …   Wikipedia

• Method of lines — The method of lines (MOL, NMOL, NUMOL) (Schiesser, 1991; Hamdi, et al., 2007; Schiesser, 2009 ) is a technique for solving partial differential equations (PDEs) in which all but one dimension is discretized. MOL allows standard, general purpose… …   Wikipedia

• Method of characteristics — In mathematics, the method of characteristics is a technique for solving partial differential equations. Typically, it applies to first order equations, although more generally the method of characteristics is valid for any hyperbolic partial… …   Wikipedia

• Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia