how to travel to Dunhuang from Beijing and can you provide me the schedule for this intinerary.

You can fly from BJ Capital Airport to Dunhuang directly. I remember there is a flight, CA1287 by AIR CHINA, operating for the journey on Tuesdays, Thursdays and Saturdays. It leaves at 06:45 and arrives at 10:10.

Thanks. Any train directly to DH from Beijing? If yes, what is the schedule and how long are the traveling period ?Please advised.

I'm afraid there is no direct train servcice for this journey. If you still wish to travel by raillway: at BJ West Station, take a train to Lanzhou first, where you can transfer to another train to Dunhuang. The whole journey takes more than 33h. As for thr specific fare, search at the TRAIN page of this website.