The following is a 5-point difference scheme, over equally-spaced xi , for d3f/dx3 at x = xi : write out taylor series expressions for each of the four fi-3, fi-2, fi-1, fi+1 to the fifth deriva? ve, like you did in 12.3, and then combine them using the given difference scheme above to
a) calculate the discre? za? on error order (i. e. write the error = o(δxp) for some integer p).
b) calculate the precision of the scheme.