Question

Your task is to write a matlab code using the Finite-Volume-Method (FVM) to solve the following 1D equations.

1. Solve the 1D heat conduction equation without a source term.

The 1D heat conduction equation without a source term can be written as

Where k is the thermal conductivity, T the local temperature and x the spatial coordinate.

Using the Finite Volume Method, use this equation to solve for the temperature T in a rod. The rod has a length of L=2.0m, a cross-section area of A=10^-2 m², the thermal conductivity is k=1500 W/Km, and the temperatures at the ends are held constant at 200°C and 600°C, respectively

**Please Note: You can use programming libraries only for the solution of linear algebraic problems (e.g. linsolve(A,b) or inv(A)) and for plotting data. All other routines need to be programmed in primitive statements (i.e, if statements, loops and assignments)

Answer 1

ol Given that The 1D heat conduutiom eguuation without a Sounce tea ro K is ther nal csnd utin T İs local temprature . coordiabe Theod has Length o L=2-0 m t- CYosS Sechomal area Ao The thermal cond.hviy 5 w/km The temp rature at the endc or e ficla constantr al- 200 c and 600 c ㄒ nL り汇Pentahiy eaua Hons 0 amd 6oo a

Given the dagom as