  A new approach, combining the Ibragimov method and the one by Anco and
Bluman, with the aim of algorithmically computing local conservation laws of
partial differential equations, is discussed. Some examples of the application
of the procedure are given. The method, of course, is able to recover all the
conservation laws found by using the direct method; at the same time we can
characterize which symmetry, if any, is responsible for the existence of a
given conservation law. Some new local conservation laws for the Short Pulse
equation and for the Fornberg Whitham equation are also determined.
