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A survey on integration of parabolic equations by reducing them to the heat equation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ibragimov, Nail H. |
| Copyright Year | 2011 |
| Abstract | The present paper is a survey of results [1], [2] on extension of Euler’s method for solving hyperbolic equations with one spatial variable to parabolic equations. The new method, based on the invariants of parabolic equations, allows one to identify all linear parabolic equations reducible to the heat equation and find their general solution. The method is illustrated by several examples. |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/conm/549/10851 |
| Alternate Webpage(s) | http://bth.diva-portal.org/smash/get/diva2:834533/FULLTEXT01 |
| Alternate Webpage(s) | https://doi.org/10.1090/conm%2F549%2F10851 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
