Anderson, England's all-time leading wicket-taker, was sidelined with a stress fracture in his right shoulder. Allrounder Stokes missed the first-test loss to Pakistan while recovering from surgery on a cartilage tear in his left knee.
Adil Rashid has also been added to the squad as a second spin option.
England Squad
Alastair Cook (captain), Moeen Ali, James Anderson, Jonny Bairstow, Gary Ballance, Jake Ball, Stuart Broad, Steven Finn, Alex Hales, Adil Rashid, Joe Root, Ben Stokes, James Vince, Chris Woakes.