Agile Methodology

The definition of agile is
Agile software development is a set of principles for software development in which requirements and solutions evolve through collaboration between self-organizing, cross-functional teams

The methods of Agile are :

Scrum : A product owner lists down the requirements which are called as backlogs. Cross functional teams lead by the Scrum Master picks up the backlog according to the priority and deliver it in successive sprints .

Lean : it focusses on
eliminations of waste.
Deciding as late as possible , delivering as early as possible.
Amplifying learning , building integrity in and seeing the whole.

Kanban : principle of kanban are :
Visualize what you have done today.
Limit the amount of work in progress.
Enhance flow.

Extreme Programming :The supporting practices of this methodology are:
Planning Game
Small Releases
Customer Acceptance Tests
Simple Design
Pair Programming
Test-Driven Development
Refactoring
Continuous Integration
Collective Code Ownership
Coding Standards
Metaphor
Sustainable Pace

References

https://www.versionone.com/agile-101/agile-methodologies/