Question

Numerical method question

(First order ordinary differential equation) Amy models the instantaneous water height h() in the water tank as given in the following dr Initial water height is 0 [m], i.e, o-0mat-os. She would like to predict the water height as a function time, t. Use At 0.05 s for Finite Difference Method (FDM) (a) What is the water height h(), using analytic approach for 0 (0.5 pt) (b) What is the water height h(O), using FDM for os1s22 ( p) (e) What is the water height h), using Matlab/Octave built-in function, ode45 for O 22 ( pt) (d) Plot the results of parts (a) to (c) in the same figure to confirm your solutions are reasonable. (1 pt) (e) What is the water height in [m] at the steady-state condition, i.e, what is the water height at- from the solutions from parts (a) to (c)? (0.5 pt)

Answer 1