Finite Volume Methods for Hyperbolic Problems.

Problem 9.1

\(tau = 
      Series[Series[
          Q[x, t + k] - Q[x, t] + 
		
            \((k\/h)\) u[x] \((Q[x, t] - Q[x - h, t])\) + 					
            \((k\/\(2\ h\))\) 
              \((
							
                u[x + h] \((1 - \(k\/h\) u[x + h])\) 
                    \((Q[x + h, t] - Q[x, t])\) - 
								

                  								
                  u[x] \((1 - \(k\/h\) u[x])\) \((Q[x, t] - Q[x - h, t])\)

                					)\), 
							{k, 0, 3}
								], {
          h, 0, 3}]\)