JGuitar's scale calculator will draw scale diagrams showing the fretboard with notes in the selected scale highlighted. Adjust the "start fret" option to further highlight a finger pattern for playing the selected scale in a different position on the fretboard. Hit "Go" to see the result. Scale diagrams can also be labeled with either letters or scale degrees.
Important: The fretboard is shown with the lowest pitch string at the bottom and the highest pitch string at the top (unless you've tuned your instrument differently.)
The Lydian Dominant scale is also known by the following names: Mixolydian #4.