Advances in Difference Equations is a peer-reviewed mathematics journal covering research on difference equations, published by Springer Open.

The journal was established in 2004 and publishes articles on theory, methodology, and application of difference and differential equations.

[1] The editors-in-chief are Ravi Agarwal, Martin Bohner, and Elena Braverman.

The journal is abstracted and indexed by the Science Citation Index Expanded, Current Contents/Physical, Chemical & Earth Sciences, and Zentralblatt MATH.

Under the new title, Advances in Continuous and Discrete Models: Theory and Modern Applications, the journal will cover developments in machine learning, data driven modeling, differential equations, numerical analysis, scientific computing, control, optimization, and computing.