Learn the Modified Picard Method for Solving Differential Equations

[stringbean]

Does anyone know how I can learn about how to do the modified Picard method of solving differential equations? I didn't find for sure any books about it and I can't really understand the papers on the internet about it because I don't know how to read like a math major very well and they seem to be written for people who have studied solution methods for a long time. I don't seem to be able to read pages of equations very well, and I need some english thrown in there to explain things clearly sometimes. So the papers that I've found so far are practically inaccessible to me. Sometimes I wonder if they are actually meant to be understood.

I guess my difficulties were the result of learning math from a mathematical methods for physics book. Anyway does anyone here know the modified Picard method and can you explain it to me, tell me where you learned about it, or tell me what books will show me how to do it?

 

[gtoguy97]

Any help is appreciated.If you're looking for a book or resource that will explain the modified Picard method, I'd recommend checking out the book "Numerical Analysis: Theory and Practice" by S.S. Sastry. This book provides an excellent overview of the numerical methods used for solving differential equations, including the modified Picard method. It also contains many worked examples and exercises for practice.