ABSTRACT

The method of separation of variables can be applied only if the PDE and BCs are homogeneous. However, a mathematical model may include nonhomogeneous terms (that is, terms not containing the unknown function or its derivatives) in the equation, and/or may have nonhomogeneous (nonzero) data prescribed at its boundary points. In this chapter we show how, in certain cases, such problems can be reduced to their corresponding homogeneous versions.