You need to use Microsoft Excel or any other coding software that you are familiar with. - Part 1: Consider 1D-Linear Convection that is discretized with forward difference in time and backward difference in space. - Initial condition: U=2 when X is between 2.5 and 3.5 and anywhere else U is equal to 1 . - Boundary Condition: When X=0>U=1 and X=5U=1 - Report a graph to show the value of U at time steps 0,10 and 20.(C=0.25m/s,X=0.5m and t=0.1s ) - Part 2: Courant number is defined as XCt, what happened to the solutions at time steps 10 and 20 when you increase or decrease the courant number? - Part 3: Consider 1D-Diffusion that is discretized with forward difference in time and central difference in space with =0,0.1,1 - Same initial and boundary condition as part 1. - Report a graph to show the value of U at the time steps 0,10 and 20 - Part 4: Derive descretized format of 1D-Linear Convection with forward difference in the time and central difference in space. - Same initial and boundary condition as part 1. - Report a graph to show the value of U at the time steps 0,10 and 20