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

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.

The resolution of Laplace's Equation (1) in regions V, VI and VII by using the technique of

separation of variables permits to get

In this section I introduced the hybrid

separation of variables method (HSVM) to get the solution of equations (11) and (12).

In effect, we develop a quadrature formula to evaluate the integral equation using a

separation of variables technique.

We do not assume

separation of variables and we start with an empirical representation for the whole of the S-shaped cure-time curves.

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.

It lists additional mathematical models based on partial differential equations and shows how the methods of

separation of variables and eigenfunction expansion work for equations other than heat, wave, and Laplace.

Brown (Emory University) explains the

separation of variables technique and three numerical methods for solving linear first-order differential equations as well as graphical techniques for analyzing systems of differential equations.