Pade type higher order schemes
 

Hi all
I was developing a code for Compact FVM schemes of order 4. I tried implementing it to linear equations and worked fine all the convection, diffusion and convection diffusion with periodic boundary conditions, but when applied the same scheme for Euler 1D equations the solution is diverging. I found that it was the interpolation at the boundaries that are causing the trouble tried out different possibilities but failed , any suggestions regarding this.