Can you give me the names of some of the approximate iterative methods for solving differential equations?

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Muhammad Ali

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

Ashraf A. Zaher

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...