The Smarandache curves with Darboux apparatus in the curves in Galilean space

In this work position vectors of special Smarandache curves were determined by Darboux apparatus of a unit-speed curve in Galilean space. The position vectors of Smarandache curves were investigated for the special cases of these curves, which are geodesic, asymptotic and curvature lines. Furthermore, some characterizations were given for the Smarandache curves of the circular helix, general helix, Salkowski and Anti-Salkowski curves, which are considered to be more specific in the family of curves. Finally, some elaborate examples of these curves were given along with their graphs.