nonlinear initial value problem

Heba Eid

2021 11 12

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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

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Alois Steindl 2021-11-12

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

Bjorn Gustavsson 2021-11-12

@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.

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