 Adams-Bashforth method

An explicit linear multistep method that integrates a polynomial extrapolation of the past derivative values. The displayed two-step member is second order in time: the linear interpolant through $f_{n-1},f_n$, integrated over the next step, gives coefficients $3/2,-1/2$. For a spatially discretized partial differential equation, the spatial error must also be included in the total local defect.