Almost everybody in my department at the university use an online kanban board (KanbanTool) to manage writing papers, preparing and conducting classes and exams for students etc. in line with Kanban method. However, I would like to try Getting Things Done. I wonder, if it is possible to use such a tool (or maybe some other) to implement GTD system?
GTD is based on everything coming into your inbox and being processed from there. You can virtually use any tool that you want to implement the GTD methods.
The Kanban Tool seems to just be a Kanban Board that is shared amongst peers. I've never used it, but it seems to be based on the physical construction of a workflow and does not rely on inter-related projects being inherently linked visually. I also don't see tagging.
What I would do with a Kanban Board type layout, is set it up basically following the the GTD Workflow
From here you would have one place for an inbox, where all items are waiting to be processed. From there you follow the workflow and break out
You could also have a file cabinet type column where links to references could go, or you could put them in the project columns. But, unfortunately, it seems that keeping reference material on a Kanban board would be less than desirable, so instead you could use the board as the actions or to-do list and the references in another place.
The main objective is to have one place for everything to arrive and to process it from there, determining whether you need it, what you need to do with it, and when you're going to do it.
Using the Kanban method can simply be a way to further organize your GTD workflow. I personally use KanbanFlow and really like it. It gives you a lot of options and flexibility for organising your workflow. It also has built in Pomodoros which I also recommend trying. I think it's best to consider all of the available options and settle on a system that works best for you, modified as necessary. In my case it's taken several years to find something that works for me. I've ended up with a system that incorporates aspects of GTD, Kanban and the Pomodoro technique.
Try not to be too focused on implementing the system exactly as it's written, but rather on finding and using aspects of the system work for you. What works for David Allen may not work for you.