Question: please use MATLAB code to slove this equation and please write the solution with details 1. Consider the following advection equation: ut+aux=0,u(x,0)={4(x+8)(x+9),0,if9x8otherwise. Use any of

please use MATLAB code to slove this equation and please write the solution with details

1. Consider the following advection equation: ut+aux=0,u(x,0)={4(x+8)(x+9),0,if9x8otherwise. Use any of the finite difference methods: Upwind, Lax-Friedrich, Lax-Wendroff, Leapfrog to solve the problem for 10x10 using a grid where r=hak=0.95,a=1. Plot your solution at time t=10

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