Research Update
Solving this equation is a good opportunity for me to getting to know ODE solvers: Euler, Runge-Kutta etc and their implementations in Matlab and Mathematica. I’m off to get a few books to read on them. The general plan is:
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Double-check that the equation is right
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Study numerical techniques theoretically
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Write code in Matlab and/or Mathematica
My only concern is how am I going to implement my external function/cause which is a weird bunch of gaussians modulated by another gaussian and then a decreasing exponential.