Analytic-Numerical Solution of Random Boundary Value Heat Problems in a Semi-Infinite Bar

Figure 2

Approximations for the expectation E[𝑢(𝑥,𝑡)] (a), and the standard deviation Var[𝑢(𝑥,𝑡)] (b), on the spatial domain 0<𝑥≤8 for some values of time in the interval 1≤𝑡≤10 for the data of Example 2.

(a)

(b)