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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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

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Version History

Feb 15, 2021 Version 1

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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

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