Question 4: Numerical solution of wave equation using finite difference method (a) Write down the formula of finite difference method for solving wave equation. (b) Solve the following problems. Given the wave equation d'u d'u -145 =0. di² ax² with conditions u(0,1)=u(1,1)=0 5x 2 15-15x u(x,0)= 1>0 = 2x 5x51 du (x,0) ôt By taking Ax = h = 0.2 and Ar= k = 0.04, solve the wave equation using finite difference method up to second level.

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