the cartan-monge geometric approach to the generalized characteristics method and its application to the heat equation u_{t}-u_{xx}=0
Clicks: 72
ID: 218888
2009
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This
article has not been analysed, so there is no overall score —
reader engagement is measured and shown alongside.
Reader Engagement
Steady Performance
21.3
/100
72 views
7 readers
AI Quality Assessment
Not analyzed
Readership in this journal
SteadyRanked #93 of 95 articles by views in zhonghua yi xue za zhi
Most read
Least read
Bar heights use a square-root scale.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
5
SUSD
one-off · no wallet required
Abstract
The generalized Cartan-Monge type approach to the characteristics method is discussed from the geometric point of view. Its application to the classical one-dimensional linear heat equation \(u_t-u_{xx}=0\) is presented. It is shown that the corresponding exact solution of the Cauchy problem can be represented in a classical functional-analytic Gauss type form.
| Reference Key |
golenia2009opusculathe
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | ;Jolanta Golenia;Yarema A. Prykarpatsky;Eugeniusz Wachnicki |
| Journal | zhonghua yi xue za zhi |
| Year | 2009 |
| DOI |
http://dx.doi.org/10.7494/OpMath.2009.29.1.27
|
| URL | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.