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  • $\begingroup$ Do you know of any place I can read about techniques like this? One problem I notice is that the left initial condition is not satisfied in the solution as I start making the right boundary further away. $\endgroup$ Commented Jun 30, 2015 at 18:00
  • $\begingroup$ All you would ever want to know (and more) is located here. If your answer is not accurate enough, try the "Shooting" Method, perhaps coupled with increased WorkingPrecision. $\endgroup$ Commented Jun 30, 2015 at 18:07
  • $\begingroup$ @xentity1x I replaced [x20] == 0 by x[tf] == 0 in the answer for generality. With this change, a = 11/10; b = 12/10; tf = 100;, and WorkingPrecision -> 30 in NDSolve works fine. $\endgroup$ Commented Jul 1, 2015 at 4:25