Course Solutions Uncategorized (Solved) : Need Help Part Please Provide Step Step Solution Along Detailed Explanation Part B C Pleas Q26997973 . . . .

(Solved) : Need Help Part Please Provide Step Step Solution Along Detailed Explanation Part B C Pleas Q26997973 . . . .

 

Problem 4. Consider the numerical solution of the wave equation with Dirichlet boundary condition: utt = uzz , e (-1, 1), u(t,-1)-u(t, 1-0, u(0,x) = expl--32x2), ut(0,2)-0. (1) (a) Assuming sufficient smoothness in u and appropriate initial conditions, show that solving (1) is equivalent to solving the acoustic equations Pt=Uz, with boundary conditions u(t, 1) = u(t, 1-0. Find the appropriate initial condition for p (b) Solve this problem using second order centered finite differences in space and ode45 in time. Use a staggered equispaced grid. That is, discretize u at the gridpoints aj =-1 +jh and p at 

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