OdeSolve for 2 point BVP

Forum|Forum|2 years ago
August 21, 2023
2 replies
3868 views

I am trying to solve a two point boundary value problem. Instead of three initial conditions for the problem, I am giving the value at the end of the solution interval. Can I use odesolve? My initial attempt (below and in attached worksheet) was not successful. If not what else? I have not solved this type of problem before. I know "shooting methods" are one possible approach, but I do not know how to set this up in MC. Any help would be appreciated. FYI I am using MC14, but saved the sheet as MC 11. Thanks.

1_ReactionDiffusion01_mcd11.zip

Calculus_Derivatives

Best answer by rgunwaldsen

You might consider the attached PDF article from Dr. Tom Co 11/3/2008. Mathcad 15 and Prime 8 worksheets attached.

R

rgunwaldsen

Answer

15-Moonstone

You might consider the attached PDF article from Dr. Tom Co 11/3/2008. Mathcad 15 and Prime 8 worksheets attached.

15-Moonstone

Here's another approach using Laplace transforms. I think original content is courtesy of Luc Meekes.

1_Rog_LM_20220803_BVP-ODEsolve.zip

J

JohnRudnicki

Author

15-Moonstone

Thanks. I will take a look.

L

LucMeekes

23-Emerald IV

I had to rewrite the differential equations, or Mathcad 11 would not understand. (It seems it likes the highest order differential on the LHS better).

Then a little experimenting gives: