partial differential equation

Noun

Meaning

a differential equation involving a functions of more than one variable

Source: WordNet

Synonyms

ordinary differential equation initial value problem constant-coefficient differential equation exact differential equation first-order differential equation homogeneous differential equation inhomogeneous differential equation riccati differential equation second-order differential equation separable differential equation stiff differential equation system of differential equations time-varying differential equation variable-coefficient differential equation linear differential equation
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Hypernyms

differential equation

Examples

A partial differential equation (PDE) for the function is an equation of the form : If f is a linear function of u and its derivatives, then the PDE is called linear. Source: Internet

Even if the solution of a partial differential equation exists and is unique, it may nevertheless have undesirable properties. Source: Internet

Roughly speaking, the semigroup approach is to regard a time-dependent partial differential equation as an ordinary differential equation on a function space. Source: Internet

In 1764, Euler examined the partial differential equation for the vibration of a circular drum and found one of the Bessel function solutions. Source: Internet

The 17-year-old Fermi chose to derive and solve the partial differential equation for a vibrating rod, applying Fourier analysis in the solution. Source: Internet

The Cauchy–Kowalevski theorem states that the Cauchy problem for any partial differential equation whose coefficients are analytic in the unknown function and its derivatives, has a locally unique analytic solution. Source: Internet

Close letter words and terms

partial derivative partial differential partial differential coefficient partial differential operator partial differential quotient partial discharge