How to Submit
Browse
Events
Communities
About

The geometric method for solving a heat equation

15 February 2021, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

In the proposed publication, we present a geometric method for solving a boundary value problem for a nonstationary heat equation. The equivalence of the geometric solution to an explicit difference method is shown with the corresponding initial parameters. There are considered the first and second boundary value problems. The physical interpretation of the method is based on local balance.

Keywords

Explicit difference scheme
Boundary value problem
Geometrical representation
Physical interpretation

Comments

Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting and Discussion Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.

Version History

Feb 15, 2021 Version 1

Metrics

551
130
0
Views
Downloads
Citations

License

CC logo
CC
BY logo
BY
NC logo
NC
ND logo
ND
The content is available under CC BY NC ND 4.0 [opens in a new tab]

DOI

10.33774/coe-2021-9h4xj
D O I: 10.33774/coe-2021-9h4xj [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

Share