We can write the divergence of Equation 4 as a form of

Poisson's equation, giving

Poisson's equation is changed into Laplace's equation [[nabla.

Finite difference approximation of

Poisson's equation in polar irregular mesh is defined as

This equation is shown to lead to

Poisson's equation for a newtonian gravitational potential in the next section.

Over the past few decades, several kinds of fast methods for solving

Poisson's equation have been proposed.

General Solution of

Poisson's Equation in Stator Slot Subdomain (Region III)

The electric potential is obtained by solving

Poisson's equation with proper boundary conditions, and the magnetic induction is obtained by means of the Biot-Savart law.

The mathematical solution of (9) as

Poisson's equation is known.

The thermoelastic displacement function as in [6] is governed by

Poisson's equationThese 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.

The model requires the solution of two nonlinear partial differential equations --

Poisson's equation and the continuity equation.