 |
 |
 |
|
|
|
[Sponsors] | ||||
Solving a non linear equation using finite difference |
 |
|
|
LinkBack | Thread Tools | Search this Thread | Display Modes |
September 28, 2016, 09:42
|
Solving a non linear equation using finite difference
|
#1 |
|
New Member
Niranjan
Join Date: Sep 2016
Posts: 1
Rep Power: 0  |
Consider a non linear differential equation,
y' + y^(2) = 0 where y' = dy/dx Boundary condition: @x=0, y=1 We could solve this equation through analytical means and get a solution of the form, y= 1/(x+1) But I wanted to build a numerical technique to solve this equation, like a finite difference approach. Is there a way out? |
|
|
|
|
|
September 28, 2016, 10:04
|
|
#2 |
|
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,782
Rep Power: 71 |
It is a simple exercise you can find in any texbook about numerical solution of the ODE.
|
|
|
|
|
|
|
| Tags |
| finite difference method, nonlinear equation |
|
|
Similar Threads
|
||||
| Thread | Thread Starter | Forum | Replies | Last Post |
| Problem with chtMultiregionFoam radiation boundary condition | baran_foam | OpenFOAM Running, Solving & CFD | 10 | December 17, 2019 17:36 |
| problem with Min/max rho | tH3f0rC3 | OpenFOAM | 8 | July 31, 2019 09:48 |
| Extrusion with OpenFoam problem No. Iterations 0 | Lord Kelvin | OpenFOAM Running, Solving & CFD | 8 | March 28, 2016 11:08 |
| twoPhaseEulerFoam fvOptions for alpha | lavdwall | OpenFOAM Running, Solving & CFD | 8 | October 19, 2015 09:57 |
| calculation stops after few time steps | sivakumar | OpenFOAM Running, Solving & CFD | 7 | March 17, 2013 06:37 |
Linear Mode
