Separation of variables
method is applied to solve the problem in the model.
Kostoglou, "On the analytical separation of variables
solution for a class of partial integro-differential equations," Applied Mathematics Letters, vol.
thesis what he did when he discovered the separation of variables
idea: "I ecstatically jumped, pumped my fist, [and] jump shot my soft drink can into the trash can, while repeating the words, 'That's it!'" He could finally custom-design a wheel for any application.
Result showed there is significant relation between the mental health of women with diabetes Separation of variables
: education, employment, marital status, economic status and disease duration and mental health.
 and Lu and Viljanen  combined separation of variables
and Laplace transforms to solve the transient conduction in the two-dimensional cylindrical and spherical media.
In this paper, we reinforced the method of separation of variables
from  and developed the forced vibration method from .
The resolution of Laplace's Equation (1) in regions V, VI and VII by using the technique of separation of variables
permits to get
The problem is formulated in the dimensionless form and then solved analytically by inventing a new sort of the separation of variables
hybridized by the source structure function.
In effect, we develop a quadrature formula to evaluate the integral equation using a separation of variables
The usual approach is to assume separation of variables
and to work in terms of an equivalent cure time at an arbitrary reference temperature.
In order to achieve the separation of variables
, we set
Bernatz (mathematics, Luther College, Iowa) introduces solution techniques of separation of variables
, orthogonal eigenfunction bases, and Fourier solutions, as well as the following advanced numerical solution techniques for nonlinear problems: the finite difference method, the finite element method, and "the finite analytic method wherein separation of variables
Fourier series methods are applied to locally linearized versions of the original partial differential equations."