Abstract

It is well known that there is no standard method in solving second-order partial dif- ferential equations. Thus, in this article we present a particular method: the separation of variables. As the name suggests, it is a question of assuming that the solution function is the sum or the product of functions that depend only on a single variable. In this case, the integration is simplified and the calculation of a solution is feasible. This method makes it possible to find a family of solutions or to calculate a particular solution which depends on boundary conditions and the initial values. The construction of a possible solution allow, on the one hand, to verify a formal calculation and, on the other hand, to test a reasoning numerically before or during a computer programming.