nonlinear initial value problem

Can some help me with this Nonlinear Initial value problem:

1.a Consider a nonlinear differential equation of your choice

1.b Develop a numerical scheme using RK4 using Newton’s technique, give the details of the numerical scheme

1.c Report the order of convergence of the developed numerical scheme. A clear plot is needed.

1.d-1 Use a predictor-corrector numerical scheme using Adams-Bashforth of order 4 and Adams-Moulton of order 4 to produce an approximation of the solution to the initial value problem.

1.d.-2 Compare results of 1.b versus 1.d-1

[KSSV]

Good problem...you will learn a lot in this. Go ahead.

[Heba Eid]

can you help with it?

[Alois Steindl]

Homework assignements are intended to be worked out by the students themselves.

[Bjorn Gustavsson]

@Heba Eid, sure for a clean and simple nonlinear equation you could for example have a look at a simple particle-pendulum with large amplitude oscillations.