Our journey with forward-backward differential equations: destination unknown!

This presentation will focus on our numerical investigations relating to mixed-type functional differential equations (MTFDEs) of the form \(x'(t)=a(t)x(t) + b(t)x(t+1) + c(t)x(t+1)\). Following a brief introduction to MTFDEs we include a review of our progress to date. Alongside our aim of developing new approaches to the numerical solution of MTFDEs we are particularly interested in using our approach in modelling applications. We will discuss some aspects of, and issues relating to, our current investigations, and will present examples to illustrate our numerical approach.