Q3. An insulated heated rod with a uniform heat source can be modelled with Poisson equation...

  

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Q3. An insulated heated rod with a uniform heat source can be modelled with Poisson equation d²T dx² = -f(x) (a) Given a heat source f(x) = 25 C/m² and the boundary condition T(x=0) = 40°C and T(x=10) = 200°C, solve for the temperature distribution in the system using the Finite Difference Method with Ax = 2. (b) (b) Repeat this problem but for the spatially varying heat source: f(x) = 0.12x* - 2.4x² + 12x ¿T (c) If (dx without attempting to resolve it.. <=0 at the Left end of the rod, generate the matrix form of the system of equations Q3. An insulated heated rod with a uniform heat source can be modelled with Poisson equation d²T dx² = -f(x) (a) Given a heat source f(x) = 25 C/m² and the boundary condition T(x=0) = 40°C and T(x=10) = 200°C, solve for the temperature distribution in the system using the Finite Difference Method with Ax = 2. (b) (b) Repeat this problem but for the spatially varying heat source: f(x) = 0.12x* - 2.4x² + 12x ¿T (c) If (dx without attempting to resolve it.. <=0 at the Left end of the rod, generate the matrix form of the system of equations

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Given dI fx Using central difference scheme For f 25 ... View the full answer