Timeline for How to numerically solve a reaction network with fast equilibrium steps?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 14, 2017 at 5:32 | comment | added | Osman Mamun | Practically, I have no idea; however, you can simplify your problem by taking few relevant perturbation order (say up to 3rd order), form your system of differential equation system, solve it using a ODE/DAE/PDE solver. In essence, before you form your system of DE just make sure you have a well defined set, i.e., your number of equations and number of boundary conditions are consistent. | |
| Sep 14, 2017 at 3:17 | comment | added | ace_101 | Thanks this seems useful, I did not think that you could apply the solution matching approach to a problem of this nature. But they solve the problem analytically, what if I want to do this numerically what do I do? This was just an example system that I chose, the real system that I am interested in solving is rather complicated and definitely doesn't have an analytical solution. Thanks | |
| Sep 13, 2017 at 5:18 | comment | added | Osman Mamun | See chapter 4 of this link (mat.unimi.it/users/scacchi/didattica_2017/biomat2/asy.pdf). This is exactly what you are looking for. | |
| Sep 13, 2017 at 5:16 | comment | added | Osman Mamun | Yes, you are right. There should be two solution regime for this kind of problem (I forgot about that). One is for short time scale and another one for long time scale. I'll suggest consulting William Deen's analysis of transport phenomena book (maybe it was discussed in 3rd or 4th chapter) | |
| Sep 12, 2017 at 22:28 | comment | added | ace_101 | I think that when A * is in rapid equilibrium with A and * you can not write the rate of change of A as you have written. This expression would be valid if A* had not been in equilibrium with A and *. | |
| Sep 12, 2017 at 5:14 | history | answered | Osman Mamun | CC BY-SA 3.0 |