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Solve analytically and by finite difference by using matlab 1 ) Discretizing the differential equation 2 ) Simplify to the form Ax = b 3

Solve analytically and by finite difference by using matlab
1)Discretizing the differential equation
2)Simplify to the form Ax = b
3) Matlab solution for x
A fin of diameter 0.02m and length 0.08m is attached to a wall. The temperature at the wall is 200C. Determine the temperature of the fin at x=0.02,0.04,0.06 and 0.08m, using finite difference technique taking four parts. The thermal conductivity of the rod is 25WmK and convective heat transfer coefficient from rod to surroundings is 40Wm2K. The governing differential equation is
-d2dx2+hPkA=0, where =T-Tsurr=T-25,
and the boundary condition at x=0.08m is ddx+hk=0.
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