[Solved]Write Matlab Code Finite Difference Discretization Solving One Dimensional Wave Equation U Q37164082

Write MATLAB code for:

Here is the the finite difference discretization for solving theone-dimensional wave equation

u_tt = cu_xx

combined with the boundary conditions

u(0, t) = α

u(1, t) = β

and initial conditions

u(x, 0) = f(x)

ut(x, 0) = g(x).

Here c is a positive constant. Please make the followingmodifications to the problem above:

a) Solve instead the damped wave equation u_tt + ωu_t = cu_xx,where ω is a positive constant. Use the standard central differenceapproximation to deal with the ut term.

Expert Answer

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Answer to Write MATLAB code for: Here is the the finite difference discretization for solving the one-dimensional wave equation u_… . . .