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Please provide the step by step in a script in MATLAB. Steady-state temperature

ID: 3693243 • Letter: P

Question

Please provide the step by step in a script in MATLAB.

Steady-state temperature distribution in a rod with heat generation can be represented by the following differential equation: 20 d^2 t/dx^2 - 2T = -50e^x sin (pi x/5) where x = distance along the rod [m] and T is the temperature [K]. Obtain a solution for a 5-meter long rod with dT(0)/dx = 0 and T(5) = 400. Solve the problem using the shooting method, using a finite difference approach with Deltax = 1 [m] and using a finite difference approach with Delta x. = 0.25 [m]. For the finite difference solutions use 0(h^2) approximations. Plot the temperature distribution for the three solutions on a single figure, include a legend and label the axis.

Explanation / Answer

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