Consider solving the following problem:

The solution of the heat equation problem (D = 1.0), using the explicit forward method, is shown in Figure 6.22. Here, σ 2/D, the temperature profile is expected.

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ди ²u = D. at Əx²¹ x e [0, 1], t > 0, and the initial condition with the simple Dirichlet boundary conditions u(0, t) = 0, u(1, t) = 0, u(x, 0)= sin(x). (6.76) (6.77) (6.78)