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Ordinary Differential Equations
- 1.
- Write a program using Euler's Method and using the 2nd Order
Runge-Kutta Method to find the phase space trajectory of a particle of
unit mass in a 1-D potential
- a.
- Show the trajectory for the initial conditions
- c.
- Check the conservation of energy for different step
sizes, for both the Euler Method and the 2nd Order Runge Kutta Method.
Determine the step size where you have atleast accuracy in the
energy over one whole period of the particle.
- 2.
- Write a program to follow the motion of an electron in an
electric field
and a magnetic field
. Numerically determine the trajectory of an
electron which starts at the origin with velocty
for the following field configurations
- a.
- Uniform magnetic field Tesla along the z axis.
- b.
- Uniform magnetic field Tesla along the z axis and
an uniform electric field along the axis.
Somnath Bharadwaj
2003-03-06