One boundary value problem (ODE) has an analytical solution and I guess there is other solution also which I am getting using Mathematica but it depends upon length of infinity. The third order BVP has one condition at infinity. The solution keeps on changing as I go on increasing the value of infinity. Can anybody help?
The issue you are dealing with is how to construct what are called "Artificial Boundary Conditions" (ABC) that are used to replace the condition at infinity in numerical computations. There is a very readable review paper by Tsynkov that you should look at -see attachment. You can also look at one of my papers " Downstream development of a two dimensional viscocapillary flow ", which you can download from RG
Respected Sir,
You can solve it by Spectral Method. Spectral Relaxation Method or Spectral Quasilinearization Method etc methods can be use according to the problem.If you are unable to solve by those methods then you can try to solve that problem with other Spectral Methods.
- Badges
- Science topic