Poisson's equation


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Poisson's equation

[pwä′sōnz i‚kwā·zhən]
(mathematics)
The partial differential equation which states that the Laplacian of an unknown function is equal to a given function.
References in periodicals archive ?
This equation is shown to lead to Poisson's equation for a newtonian gravitational potential in the next section.
This equation is Poisson's equation for a newtonian gravitational potential.
The thermoelastic displacement function as in [6] is governed by Poisson's equation
These computational tools, presently successful in the study of plate elasticity, thin and thick plate bending, Poisson's equation, heat conduction, and piezoelectric materials, are described largely in journals.
Thus, the proposed method is suitable to compute the solution of Poisson's equation in free space using a multigrid method.
Explicit solutions of Burger's equation, the telegraph equation (with an asymptotic analysis of the solution), and Poisson's equation are provided.
Hence, we present the boundary conditions and good numerical solutions to Poisson's equation for pressure distribution.
Next, we calculate a smooth pressure distribution using Poisson's equation (2.
In this process, Poisson's equation is transformed into a more general two-variable second-order linear partial differential equation.
The textbook [5] shows its applications for solving Poisson's equation, the heat equation and Burger's equation in a square domain.
SWARZTRAUBER, The methods of cyclic reduction and Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle, SIAM Review, 19 (1977), pp.