If you want to make a change in the name itself in the Aadhar card, it will be considered as one of the major changes that needs special procedure. Even though the official site for Aadhar card gives you certain options to make some changes, it won't include change of name, as it will concern the entire identity of the person .
to make this change effective on your card, you have to visit the Aadhar card office in your sector, carry all the proofs of identity with you, and before you stand in the queue for the changes, make sure to consult the procedure with the concerned officer, in this matter.
If it is a mistake on their side to print a wrong name, things will be easier, but if it is an affidavit, the procedure will take longer time and ask for more proofs. along the existing id proofs, you will have to submit the affidavit certificate and wait for at least 15 days to see the effect on your card.
To check if the changes has really taken place, you can log in to the Aadhar Card official website: