I trying to decide on a project.

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SUMMARY

The discussion centers on selecting a project for a Numerical Computation course involving MATLAB and R, with a focus on solving ordinary differential equations (ODEs) numerically. The user expresses interest in classical mechanics and seeks suggestions for scenarios that can be modeled with ODEs. Proposed ideas include the motion of a rain droplet on a window, the dripping of water from a faucet, the flight of a frisbee, and the flight of a baseball with different spins. Relevant resources and links for further exploration are provided.

PREREQUISITES
  • Understanding of ordinary differential equations (ODEs)
  • Familiarity with MATLAB and R programming environments
  • Basic knowledge of classical mechanics principles
  • Experience with numerical computation techniques
NEXT STEPS
  • Research numerical methods for solving ODEs in MATLAB
  • Explore R packages for numerical analysis, such as 'deSolve'
  • Investigate modeling techniques for fluid dynamics related to rain droplets
  • Study the physics of projectile motion and spin effects on baseball flight
USEFUL FOR

Students in numerical computation courses, educators in physics and mathematics, and researchers interested in modeling physical phenomena using MATLAB and R.

Darth Frodo
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Hi all, I am taking a Numerical Computation course this year which basically consists of learning MATLAB and R. We are tasked with doing a mini research project which involves using either of theses environments.

I am most interested in classical mechanics and have recently taken a course in ODEs so I am thinking something involving solving ODEs numerically rather than analytically.

The problem is I'm having a tough time getting to an ODE. I need help in choosing a situation which when modeled, will yield an ODE to solve.

One idea I have is looking at the motion of a rain droplet on a window.

Any help on this matter would be most appreciated.

Thanks.
 
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How about a drop of water dripping from a faucet?

http://www.seas.harvard.edu/softmat/downloads/2005-06.pdf

http://pre.aps.org/pdf/PRE/v55/i6/p6776_1

or the flight of a frisbee?

http://biosport.ucdavis.edu/researc...ation-and-throw-biomechanics/HummelThesis.pdf

http://scripts.mit.edu/~womens-ult/frisbee_physics.pdf

or the flight of a baseball with various kinds of spin?

http://baseball.physics.illinois.edu/AJPFeb08.pdf

Also you can check the Open Source Physics website for various kinds of modeling in Java:

www.compadre.org/osp
 
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