I am a Master's student doing a research internship. I do not have to defend the results of my research at the end of the internship; however, I would ideally get a publication out of this.
I am working with a well-respected professor in applied mathematics. When he suggested a research topic, I quickly agreed. At first I found the topic a little bit strange and uninteresting, but I thought that I didn't understand it well. It seemed like he had not thought about the topic a lot, but he seemed enthusiastic about it.
After learning more, I confirmed my initial impressions. This problem has been studied extensively before, and my special case doesn't seem all that special. I reported my findings to the prof and he seemed to agree. Yet he suggested that I perform several numeric experiments to further investigate. I did so, but didn't get any definitive results. My supervisor had said that if the experiments failed, we would change the topic. But now he just keeps suggesting new ones.
I do not like the topic and would like to change topics as quickly as possible. However, I do not want to be seen as one who just jumps from topic to topic when something doesn't work. During our last meeting I attempted to "corner" the professor, asking for the interpretation of the possible outcome of the experiment in advance. Also, I was seemingly displeased by the idea of more experiments because I was arguing about their meaninglessness. The supervisor said something like "you seem to be looking for the excuse to not do the job." I definitely want to do the work as I want to get results. Yet, I think our current efforts will be fruitless.
What should I do?