The LaxWendroff method for the wave equation ut ux is Vij1

The Lax-Wendroff method for the wave equation ut = ux is:

(V_i,j+1 - V_i,j) / k = (V_i+1,j - V_i-1,j) / 2h + (k(V_i+1,j - 2V_i,j + V_i-1,j)) / 2h²

Show that it is consistent and calculate its order.

Solution

http://ocw.mit.edu/courses/mathematics/18-086-mathematical-methods-for-engineers-ii-spring-2006/readings/am52.pdf