Use of the Numerical Method

Abstract

In chapter 3 Fick’s Second Law has been expressed as a partial differential equation, usually referred to as the diffusion equation. Analytical solutions have been obtained in the form of infinite series of terms. In practice, solutions are usually required in the form of tabulated numerical values or graphs — for example, values of concentration in different parts of a medium at successive times. Such values can be obtained by evaluating a sufficient number of terms in the appropriate series solution and summing them as in chapter 3.