Write the COMPLETE MATLAB CODE $($ PROGRAM$)$ with solution and output.

Given the one dimensional wave equation $c^2{u}_{xx}=u_{tt}$ subject to boundary conditions and initial conditions given by $,t0,0x0\mathrm{.}5$

$0\mathrm{.}5,0\mathrm{.}5x1.$ If $c^2=2,h=\frac{1}{50},k=\frac{1}{10},$ compute the solution at time $t=1\mathrm{.}00,$ plot the function $)$

provide the Complete MATLAB CODE $($ PROGRAM$)$ with output and solution.

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