Note that in experimental fields it is not uncommon that an abstract is required to have "specific" unpublished results 9 months or so before the conference. The problem is if you are a theoretical/mathematical researcher in these lab based fields often your mathematical model and derivations are the crux of your research and a numerical exploration comes later. How do you write an abstract for these fields highlighting that you derived the model, proved a bunch of existence and uniqueness properties (that they likely don't care about) and have just started your exploration of numerical examples (likely the only thing they care about) without having anything definitive to say yet about your numerical examples.
The most definitive thing I could say about the numerical examples is, "We show that for a given set of parameter space we observe X and for another set of parameter space we observe Y. This is the consequence of X being true in contrast to Y being true in our field of application". To be clear I don't know anything about the structure of the parameter space that yield the two distinct X and Y scenarios yet, but I do know that both X and Y are possible given some preliminary simulations, and that the difference between X and Y is interesting.
One thing to note is this is not a conference that includes a proceedings. You have an abstract and a talk, but no paper comes out of it. Papers are strictly for peer reviewed journals in this field. The answers to this question How to write abstract for conference when you have no results yet? seem to be more geared towards fields where papers come out of the conference.