Question: Ju 1 -2 r r [50 points] The problem of transient radial heat flow in a circular rod in nondimensional form is described by

Ju 1 -2 r r [50 points] The problem of transient radial heat flow in a circular rod in nondimensional form is described by t (2) = with boundary conditions u(t, 1) = 1 and (t, 0) = 0 r u(0,r) 0 0r1 Solve the nondimensional transient radial heat-conduction equation in a circular rod for the temperature distribution at various times as the rod temperature approaches steady state. Use second-order accurate finite differences for the derivatives with a Crank-Nicolson formulation. Use Ar=0.1 and At=0.01 for good accuracy. Plot the temperature u versus radius r for various times t.

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