DMAIC and DMADV are 2 methodology for exceution and design process in six sigma.
DMAIC is used to improve an existing business process and has five phases
Define - Define Opportunity
Measure - Measure performance
Analyze - Analyze opportunity
Improve - Improve performance
Control - Control Performance
DMADV is used for new product or process design development and has five phases
Define - Define Opportunity
Measure - Measure CTQ (Critical to Quality)
Analyze - Analyze Relationship
Design - Design solution
Verify - Verify functionality