The Analytical and a Higher-Accuracy Numerical Solution of a Free Boundary Problem in a Class of Discontinuous Functions

Figure 2

(a) The function 𝑢(𝑥,𝑡)=𝜕𝑣(𝑥,𝑡)/𝜕𝑥. (b) Numerical solution obtained by using the classical algorithm (4.6)–(4.7).

(a)

(b)