I'm currently doing a PhD in applied mathematics, I'm about to start my final year. The problem that I've been working on for the last 2 years was originally proposed by my advisor and one of his colleagues. The direction of research wasn't that good, the problem had already been studied by previous researchers and there is very little one can add to what's there already.
I discussed this with my supervisor early on, but he suggested I persevere because he saw some promise in our approach. In these 2 years I have struggled to find something worth mentioning, and have only produced meagre results at best. What's worse is that my advisor has virtually no interest in what I do. I don't think he's actually read any of my work, or even read any of the surrounding literature. His advice has not been so useful.
Without anybody to guide me and without a clear problem to work on I feel really lost and a bit cheated especially considering the amount of attention he gives to his other students. I'm no genius but I've consistently helped his other postgrads do their own research (in completely different areas), and while our advisor has guided them into publishing several papers each, I'm sitting here clueless, with absolutely nothing to show for myself.
Sorry about the rant, but I'm really lost. Any advice would be appreciated.