Timeline for Moving B.C.s in heat diffusion model
Current License: CC BY-SA 4.0
33 events
| when toggle format | what | by | license | comment | |
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| Jun 16, 2022 at 4:20 | history | edited | user21 |
edited tags
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| Jun 16, 2020 at 9:23 | history | edited | CommunityBot |
Commonmark migration
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| Dec 13, 2019 at 23:25 | review | Close votes | |||
| Dec 15, 2019 at 14:56 | |||||
| S Dec 13, 2019 at 23:21 | history | bounty ended | DMH16 | ||
| S Dec 13, 2019 at 23:21 | history | notice removed | DMH16 | ||
| Dec 13, 2019 at 23:21 | vote | accept | DMH16 | ||
| Dec 13, 2019 at 9:06 | answer | added | xzczd♦ | timeline score: 9 | |
| Dec 12, 2019 at 7:14 | comment | added | DMH16 | @xzczd I thought I implemented it correctly. Then, I am looking for a solution of the problem I presented above | |
| Dec 12, 2019 at 6:52 | comment | added | xzczd♦ | Well, what answer are you expecting? I've also checked your MATLAB code, the moving b.c. isn't considered therein, if I've understand it correctly. Translating the MATLAB code into Mathematica code won't help. | |
| Dec 12, 2019 at 6:00 | history | tweeted | twitter.com/StackMma/status/1205004528816406529 | ||
| S Dec 12, 2019 at 5:43 | history | bounty started | DMH16 | ||
| S Dec 12, 2019 at 5:43 | history | notice added | DMH16 | Authoritative reference needed | |
| Dec 11, 2019 at 11:28 | comment | added | xzczd♦ | So, there's no moving boundary $h(t)$ in your MATLAB code? "I also looked at the links you provided but none handle the case with $x<0$" The $x=0$ boundary isn't moving, it's much easier to handle compared to the moving boundary, we also have several posts about the topic, for example: mathematica.stackexchange.com/a/121739/1871 | |
| Dec 11, 2019 at 10:39 | comment | added | DMH16 | @xzczd I simply created two functions for which when $x<s$ it returned a $\rho_1c_1$, if $x>s$ it returned $\rho_2c_2$ other wise it returned the average. I then did something similar to handle the other constants. Then I called these two functions in my iterative scheme that I presented. Although I am not sure how to do this in mathematica as I do no really know how to work with the implementations of matrices (for example a dynamic allocation of data on it), which is needed when implementing the iterative scheme. I also looked at the links you provided but none handle the case with $x<0$ | |
| Dec 11, 2019 at 9:58 | comment | added | xzczd♦ | ……Then how did you handle it in MATLAB? | |
| Dec 11, 2019 at 6:34 | comment | added | DMH16 | that's what I am having trouble with dong in mathematica | |
| Dec 11, 2019 at 5:26 | comment | added | xzczd♦ | Well, how is the moving boundary handled by this scheme? | |
| Dec 10, 2019 at 18:23 | comment | added | DMH16 | @xzczd I included the scheme I followed | |
| Dec 10, 2019 at 18:23 | history | edited | DMH16 | CC BY-SA 4.0 |
added 473 characters in body
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| Dec 10, 2019 at 15:55 | review | Close votes | |||
| Dec 12, 2019 at 5:45 | |||||
| Dec 10, 2019 at 7:05 | comment | added | DMH16 | @xzczd My goal here was to convert my matlab code (which works) to the mathematica one, mostly for comparison, so that is why I insisted on the difference scheme. The parameters, as I mentioned in the post, are picked arbitrarily. I will add the scheme as soon as I get back from work. Thanks anyways. | |
| Dec 10, 2019 at 6:58 | comment | added | xzczd♦ |
The question is much better after the edits. (Still, you need to show us the parameters and i.c.s. ) I'd say the MATLAB code isn't quite related to this question in my view. Is the finite difference scheme used by the paper necessary? If so, it'll be better to add the difference scheme to the question directly, because it's easier for us to understand the difference formula in traditional math notation. If not, then I believe the combination of DChange, pdetoode and NDSolve is a better choice for solving the problem, and again, we don't need to know how the MATLAB code looks like.
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| Dec 10, 2019 at 6:43 | comment | added | DMH16 | @xzczd Unfortuntely, I had no other way of providing the code. Although I understand that a broken link may be an issue since such code would not be retrievable anymore. Do you think I should post it? I began translating the code myself, however being that I am somewhat inexperienced in Mathematica, I preferred posing the question to other people here, also because I did not get very far (and used many while and for loops which apparently are bad practice in Mathematica). If the question does not conform to the standards of the site, feel free to close it. I will look at the links u suggested | |
| Dec 10, 2019 at 6:37 | history | edited | b3m2a1 | CC BY-SA 4.0 |
edited title
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| Dec 10, 2019 at 6:35 | comment | added | xzczd♦ | Finally, we already have a few posts about moving b.c., have you read them?: 1. mathematica.stackexchange.com/q/58596/1871 2. mathematica.stackexchange.com/q/130962/1871 3. mathematica.stackexchange.com/q/95358/1871 4. mathematica.stackexchange.com/q/114967/1871 5. mathematica.stackexchange.com/q/184920/1871 | |
| Dec 10, 2019 at 6:35 | comment | added | xzczd♦ | @b3m2a1 I've seen this post the moment it's posted, and have been fighting against the urge to vote to close since then. As mentioned by b3m2a1, this is a big ask, which is out of scope of this site in many cases. (There exist subtle cases of course. ) Also, it's a bad idea to provide code using external download link, because the link may be easily dead. (This aleady happened for several times in this site. ) | |
| Dec 10, 2019 at 6:35 | history | edited | DMH16 | CC BY-SA 4.0 |
Stated the model on the question
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| Dec 10, 2019 at 6:29 | history | edited | DMH16 | CC BY-SA 4.0 |
Stated the model on the question
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| Dec 10, 2019 at 6:13 | comment | added | DMH16 | @b3m2a1 will do. Thank you | |
| Dec 10, 2019 at 6:09 | comment | added | b3m2a1 | I'd say most element-wise tasks can be done better as vectorized operations and once you do that there's really no difference between Mathematica and MATLAB. That's really neither here nor there, though. Looks like you just need to use the FDM, from what I glanced at in that image. Lots of questions here pertain to that but maybe xczd will come by and help you. Also how about as a compromise for not having some preliminary code, you post the relevant equations here in LaTeX form? | |
| Dec 10, 2019 at 6:06 | comment | added | DMH16 | @b3m2a1 Yes what I meant was element-wise manipulation. And it appears to me it feels more natural in matlab when doing so, or maybe I’m not experienced enough in mathematica. Regarding the method, as I mentioned above, I used the finite difference method which there are a lot of snippets around the web. I will try to post some code, maybe the general idea. Anyways, any help is appreciated. It’s just a curiosity | |
| Dec 10, 2019 at 6:03 | comment | added | b3m2a1 | I'd say Mathematica and MATLAB are about the same when it comes to 95% of the major matrix ops, but maybe you mean element-wise manipulation? Also I think it'd be nice to at least post some code detailing the method used. It's a big ask for us to read, translate, and do all the mental processing without any sort of starting point. | |
| Dec 10, 2019 at 5:42 | history | asked | DMH16 | CC BY-SA 4.0 |