1
$\begingroup$

While going over problems in differential equations and difference equations, I realized that most of the techniques that we use to solve them are very similar. This has led me to wonder - is there a deeper theory that unifies both of them?

I tried to look around, and all that I could find is something called Time-Scale Calculus. How successful is this theory, and are there any other theories that try to unify Differential and Difference Equations?

(PS: By successful, I mean that whether it has been able to explain why exactly Difference and Differential Equations have similar methods of solving them, and also what exactly differentiates them)

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.