Using the finite difference method $($x $=100$ m$),$ solve for the height of the water table for x $=0$ to $1000$ m where h$(0)=15$ m and h$(1000)=10$ m$.$ Use the following parameters for the calculation: K $=1$ m$/$d and N $=0\mathrm{.}0001$ m$/$d$.$ Set the average height of the water table as the average of the boundary conditions. b$)$ Write a second order central finite difference program in MATLAB to solve for the resultant h matrix in Problem $1$a