Solve equation (7.1) by the Crank-Nicolson method and the Heun ... | Filo
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The heat conduction equation requires approximation for the second derivative in space and the first derivative in time. Use the Crank-Nicolson method to solve for the temperature distribution of a long, thin rod (Figure 2) with a length of 10 cm and the following values: k = 0.49 cal/s·cm·C, Δx = 2 cm, and Δt = 0.1 s.At t = 0, the temperature of the rod is zero and the boundary conditions are fixed for all times at T0 = 100°C and T10 = 60°C.Note that the rod is aluminum with C = 0.2174 ca
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Using the Crank Nicolson scheme, compute the temperature distri... | Filo
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