- In mathematics, a
partial differential equation (PDE) is an
equation which computes a
function between various partial derivatives of a
multivariable function...
-
variables are
allowed to vary).
Partial derivatives are used in
vector calculus and
differential geometry. The
partial derivative of a
function f(x,y,…){\displaystyle...
- A
parabolic partial differential equation is a type of
partial differential equation (PDE).
Parabolic PDEs are used to
describe a wide
variety of time-dependent...
- In mathematics, a
hyperbolic partial differential equation of
order n{\displaystyle n} is a
partial differential equation (PDE) that,
roughly speaking...
-
coordinate differentials dxi,
which determine fiber coordinates ξi. In
terms of a
basis of
frames eμ, fν of E and F, respectively, the
differential operator...
- {\displaystyle {\frac {\
partial u}{\
partial t}}=6u{\frac {\
partial u}{\
partial x}}-{\frac {\
partial ^{3}u}{\
partial x^{3}}}.}
Solving differential equations is not...
- In
mathematics and physics, a
nonlinear partial differential equation is a
partial differential equation with
nonlinear terms. They
describe many different...
- See also
Nonlinear partial differential equation, List of
partial differential equation topics and List of
nonlinear ordinary differential equations....
- Second-order
linear partial differential equations (PDEs) are
classified as
either elliptic, hyperbolic, or parabolic. Any second-order
linear PDE in two...
-
physical use of
infinitesimal differentials with the
mathematical impossibility of them as follows. The
differentials represent finite non-zero values...