It can be due to the compression of the nerve at your cervical spine(neck area) as use the computer for long time, it can also lead to any tingling, pain or numbness/ heaviness etc in your arm or hand.
Next Steps
go for physitherapy..ultrasonic therapy for healing,tens for muscle relaxation and heat therapy for reducing inflammation may required . take rest. then the exercises are to be done and very much important.
Health Tips
For neck-at home.rest+.avoid forward neck bending, weight lifting, cold exposure ,long travelling or driving, no prolonged sitting,no long table work.