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.

[6] and Lu and Viljanen [7] 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 [1] and developed the forced vibration method from [3].

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 technique.

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."