No, these two are not the same. Data recovery is a part of computer forensics. In the later one, the experts recover lots of digital data from the internet to submit to the court of law. Data recovery generally occurs when lost data is retrieved from CDs, DVDs, hard disks, computer files, etc. But computer forensics works closely with online data deletion, online data forgery, etc. The field of work for computer forensics is vast in comparison to data recovery experts.