1. Solve the heat conduction problem using the explicit FDM: K (𝜕^2 𝑇)/〖𝜕𝑥〗^2 = C &#120

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1. Solve the heat conduction problem using the explicit
FDM: K (𝜕^2 𝑇)/〖𝜕𝑥〗^2 = C 𝜕𝑇/𝜕𝑡 ; Where K is the thermal
conductivity and C is the heat capacity. With boundary conditions:
T (0, t) = 0, T (1, T) = 0. And initial condition: T (x, 0) = 2 sin
πx. ∆x = 0.25 (n=4) ∆t= 0.02 (K=C=1) Find 0 ≤ t ≤ 0.1.