  The Homotopy Analysis Method (HAM) is a useful method to derive analytical
approximate solutions of black holes in modified gravity theories. In this
paper, we study the Einstein-Weyl gravity coupled with Maxwell field, and
obtain analytical approximation solutions for charged black holes by using the
HAM. It is found that the analytical approximate solutions are sufficiently
accurate in the entire spacetime outside the black hole's event horizon, and
also consistent with numerical ones for charged black holes in the
Einstein-Maxwell-Weyl gravity.
