Examples of 'partial differential equation' in a sentence

Meaning of "partial differential equation"

A partial differential equation is a mathematical equation that involves unknown functions and their partial derivatives. It is commonly used to model relationships in physics and engineering
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  • A differential equation that involves the partial derivatives of a function of several variables.

How to use "partial differential equation" in a sentence

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partial differential equation
The heat equation is a partial differential equation.
This partial differential equation may be solved by separation of variables.
This is a special case of a separable partial differential equation.
This is a partial differential equation.
The form of the equation is a second order partial differential equation.
Hyperbolic partial differential equation.
The control variate is based on the solution of a partial differential equation.
The resulting partial differential equation is.
Pdetool package in matlab software has been used to solve the partial differential equation.
This partial differential equation is then solved within a variational framework.
The wave equation is a hyperbolic partial differential equation.
This partial differential equation is now taught to every student of mathematical physics.
His other theories were based on partial differential equation and differential geometry.
The partial differential equation that describes overland transport is solved by iteration.
The quintessential example of a parabolic partial differential equation is the heat equation.

See also

We use a partial differential equation to deform a surface on which our flame front is inscribed.
Finite difference approximations for solving the partial differential equation are provided.
The diffusion equation is a partial differential equation which describes density dynamics in a material undergoing diffusion.
An equation for an unknown function f involving partial derivatives of f is called a partial differential equation.
To numerically solve a partial differential equation one needs some sort of discretization.
Ordinary quantum mechanics and pilot wave theory are based on the same partial differential equation.
The partial differential equation is a semilinear parabolic initial boundary value problem with a nonlocal nonlinearity.
The gradient vector may be calculated from a partial differential equation of a system cost function.
This partial differential equation describes the time evolution of a mass-density function under diffusion.
That prior art method comprises generating a partial differential equation representing the surface as a physical membrane.
This expansion transforms the integro differential Master equation to a partial differential equation.
The diffusion equation is a partial differential equation that describes the penetration of particles into a medium.
In mathematics, it is the prototypical parabolic partial differential equation.
Solution of the linear partial differential equation of the second order ;.
The Kushner-Stratonovich solution is a stochastic partial differential equation.
The only other equations that this partial differential equation needs are initial and boundary conditions.
However, gas flow in porous media is modeled by a nonlinear partial differential equation.
Using radon transform, this partial differential equation is reduced to an ordinary differetial equation.
The Fujita-Storm equation is a nonlinear partial differential equation.
This is a separable, partial differential equation which can be solved in terms of special functions.
In many cases, the solution is characterized by a partial differential equation.
In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms.
This leads to a singular perturbation problem involving a second-order partial differential equation.
Indeed, suppose we are given a partial differential equation or a system of them.
This problem is written in the form of ill-posed and over-determinated partial differential equation.
A parabolic partial differential equation is a type of partial differential equation ( PDE ).
The PGD method consists in approximating a solution of a Partial Differential Equation with a separated representation.
FreeFem++ is a partial differential equation solver based on the finite element method.
Order polynomial Orders of approximation Partial differential equation Classification.
The resulting partial differential equation is of Hamilton-Jacobi-Bellman type.
In short, this study approached a solution to the richard partial differential equation by the.
It 's a partial differential equation.
This method linearises the dynamic programming equation, which is a non-linear partial differential equation.
Swift and Pierre Hohenberg is a partial differential equation noted for its pattern-forming behaviour.
Whereas option C contains a partial derivative, and so it is known as a partial differential equation.

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