how to use the Lax method to be solved this problem and using the data to describe how the boundary and initial conditions are applied.

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Finite Difference Solution + tn 1 = 3 St K OX - X= - 2 Xi X 1=1 1=2 1=3 1 = M Lax Method KOX -60x-1 tutl of tn V Xi Xitl continuity h. - hi + at 20X h , " = h , " ot ( Aiti - Ac-. ) 20X ( unstable )In the Lax method, hi is replaced bay hi = = (hit the. ) hi = = ( hit, this, ) - st ( Ant , - A?. )1 conditionally ) stable Similarly for Momentum Ai = = ( Altit Air, ) - - ot (Biti - Bird ) + = ( City + C ) ot 20 x U." is calculated from Ai