such as homotopy analysis method
Picard-Green , Mann-Green and Ishikawa-Green methods are new and best.
All numerical methods are Iterative methods I think
I suggest you to follow : https://homepage.divms.uiowa.edu/~atkinson/papers/NAODE_Book.pdf
https://people.maths.ox.ac.uk/suli/nsodes.pdf
https://www.cs.bgu.ac.il/~leonid/ode_bio_files/Ionascu_LectNotes.pdf
https://au.mathworks.com/help/matlab/math/choose-an-ode-solver.html
http://faculty.olin.edu/bstorey/Notes/DiffEq.pdf
Good Luck
You can try this paper:
https://www.sciencedirect.com/science/article/pii/S1018364718303112
and the references therein. Also, these are nice papers:
Article New Numerical Methods for Solving Differential Equations
Article Simplified variational iteration method for solving ordinary...
Waleed Hajo
Not true!
Finite Difference Methods are numerical methods BUT NOT iterative!
Picard iteration = Successive iteration.
Suitable to treat nonlinear DEs.
Newton"s Method!
Thesis Homotopy type methods for nonlinear differential equations
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