Timeline for Inverse Laplace Transform using contour integration
Current License: CC BY-SA 4.0
22 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 26, 2020 at 8:15 | comment | added | user64494 |
The command of Maple inttrans:-invlaplace(exp(-sqrt(s/k)*x)/s, s, t) assuming x>0,k>0 produces $${\it erfc} \left( {\frac {x}{2}{\frac {1}{\sqrt {tk}}}} \right) .$$
|
|
| Dec 26, 2020 at 8:06 | comment | added | user64494 |
The comman of Mathematica InverseLaplaceTransform[1/s*Exp[-Sqrt[s/k]*x], s, t] performs $$\fbox{$\frac{k^{3/2} \text{erfc}\left(\frac{x}{2 \sqrt{k t}}\right)}{\sqrt{k^3}}\text{ if }x>0$}.$$
|
|
| S Dec 26, 2020 at 4:21 | history | suggested | RobPratt |
added a tag
|
|
| Dec 26, 2020 at 1:46 | review | Suggested edits | |||
| S Dec 26, 2020 at 4:21 | |||||
| S Dec 26, 2020 at 1:42 | history | edited | Christoph | CC BY-SA 4.0 |
fixed grammar.
|
| S Dec 26, 2020 at 1:42 | history | suggested | cngzz1 | CC BY-SA 4.0 |
fixed grammar.
|
| Dec 26, 2020 at 0:09 | review | Suggested edits | |||
| S Dec 26, 2020 at 1:42 | |||||
| Dec 24, 2020 at 1:09 | history | edited | Christoph | CC BY-SA 4.0 |
added 3 characters in body
|
| Dec 24, 2020 at 0:04 | answer | added | Jonas | timeline score: 2 | |
| Dec 23, 2020 at 8:48 | comment | added | Christoph | well, the point is to show that the inverse laplace transform can be derived analytically using contour integration even though its tedious. | |
| Dec 23, 2020 at 8:45 | comment | added | Dieter Kadelka | Do I understand your question: How to calculate the last integral? Why not use Mathematica, Maple, Sage, ...? | |
| Dec 23, 2020 at 8:41 | comment | added | Christoph | This is also another source: youtube.com/watch?v=hu6q4JtKNfc&ab_channel=MatheMagician | |
| Dec 23, 2020 at 8:14 | comment | added | user44143 | Thanks for the update showing the source for the figure — but what is the source for using this contour with this problem? | |
| Dec 23, 2020 at 7:03 | history | edited | Christoph | CC BY-SA 4.0 |
edited title
|
| Dec 23, 2020 at 6:47 | history | edited | Christoph | CC BY-SA 4.0 |
added 88 characters in body
|
| Dec 23, 2020 at 6:40 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Minor Math Jaxing
|
| Dec 23, 2020 at 5:37 | history | edited | Christoph | CC BY-SA 4.0 |
edited body
|
| S Dec 23, 2020 at 5:05 | history | suggested | FFjet | CC BY-SA 4.0 |
fix the image
|
| Dec 23, 2020 at 4:49 | review | Suggested edits | |||
| S Dec 23, 2020 at 5:05 | |||||
| Dec 23, 2020 at 4:29 | history | edited | Christoph | CC BY-SA 4.0 |
added 30 characters in body
|
| Dec 23, 2020 at 4:18 | review | First posts | |||
| Dec 23, 2020 at 7:17 | |||||
| Dec 23, 2020 at 4:16 | history | asked | Christoph | CC BY-SA 4.0 |