is a listofpartialdifferentialequationtopics. Partialdifferentialequation Nonlinear partialdifferentialequationlistof nonlinear partial differential...
In mathematics, a partialdifferentialequation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function...
Stochastic partialdifferentialequations (SPDEs) generalize partialdifferentialequations via random force terms and coefficients, in the same way ordinary...
In mathematics and physics, a nonlinear partialdifferentialequation is a partialdifferentialequation with nonlinear terms. They describe many different...
methods for partialdifferentialequations is the branch of numerical analysis that studies the numerical solution ofpartialdifferentialequations (PDEs)...
nonlinear partialdifferentialequationsListofpartialdifferentialequationtopics Mathematical physics is concerned with "the application of mathematics...
In mathematics, an ordinary differentialequation (ODE) is a differentialequation (DE) dependent on only a single independent variable. As with other...
separable partialdifferentialequation can be broken into a set ofequationsof lower dimensionality (fewer independent variables) by a method of separation...
equation are partial derivatives. A linear differentialequation or a system of linear equations such that the associated homogeneous equations have constant...
rates of change, and the differentialequation defines a relationship between the two. Such relations are common; therefore, differentialequations play...
equations Sine-Gordon equation Sturm–Liouville theory of orthogonal polynomials and separable partialdifferentialequations Universal differential equation...
A stochastic differentialequation (SDE) is a differentialequation in which one or more of the terms is a stochastic process, resulting in a solution...
derivative test Second derivative test Extreme value theorem DifferentialequationDifferential operator Newton's method Taylor's theorem L'Hôpital's rule...
An inexact differentialequation is a differentialequationof the form (see also: inexact differential) M ( x , y ) d x + N ( x , y ) d y = 0 , where ...
physics and applied mathematics, a field equation is a partialdifferentialequation which determines the dynamics of a physical field, specifically the time...
separation of variables (also known as the Fourier method) is any of several methods for solving ordinary and partialdifferentialequations, in which...
A differentialequation can be homogeneous in either of two respects. A first order differentialequation is said to be homogeneous if it may be written...
the partialdifferentialequation ∂ u ∂ t = α ∂ 2 u ∂ x 2 . {\displaystyle {\frac {\partial u}{\partial t}}=\alpha {\frac {\partial ^{2}u}{\partial x^{2}}}...
In mathematics, an ordinary differentialequation is called a Bernoulli differentialequation if it is of the form y ′ + P ( x ) y = Q ( x ) y n , {\displaystyle...
the method of characteristics is a technique for solving partialdifferentialequations. Typically, it applies to first-order equations, although more...