###### Applied Numerical Methods with MATLAB for Engineers and Scientists

144 SOLVED PROBLEMS

Question: 24.8

Question: 24.7

## Use the finite-difference approach to simulate the temperature of a heated rod subject to both convection and radiation: 0 = d²T/dx² + h′(T∞ − T )+σ′^′( T∞^4−T^4) where σ′ = 2.7 × 10^−9 K^−3 m^−2, L = 10 m, h′ = 0.05 m^−2, T∞ = 200 K, T(0) = 300 K, and T(10) = 400 K. Use four interior ...

Using Eq. (24.19) we can successively solve for th...
Question: 24.6

## Generate the finite-difference solution for a 10-m rod with Δ x = 2 m, h′ = 0.05 m^−2, T∞ = 200 K, and the boundary conditions: Ta′ = 0 and Tb = 400 K. Note that the first condition means that the slope of the solution should approach zero at the rod’s left end. Aside from this case, also generate ...

Equation (24.18) can be used to represent node 0 a...
Question: 24.5

Question: 24.4

Question: 24.3

Question: 24.2

## Use the shooting method to solve Eq. (24.6) for the same conditions as Example 24.1: L = 10 m, h′ = 0.05 m^−2, T∞ = 200 K, T (0) = 300 K, and T (10) = 400 K. ...

Question: 23.CS.5

Question: 24.1