A survey on integration of parabolic equations by reducing them to the heat equation
| Document type: | Bookchapters |
|---|---|
| Peer reviewed: | Yes |
| Full text: | |
| Author(s): | Nail Ibragimov |
| Title: | A survey on integration of parabolic equations by reducing them to the heat equation |
| Book: | Contemporary mathematics |
| Year: | 2011 |
| Volume: | 549 |
| Pagination: | 163 |
| Editor: | David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero |
| ISBN: | 978-0-8218-6872-0 |
| Publisher: | AMS (American Mathematical society) |
| Organization: | Blekinge Institute of Technology |
| Department: | School of Engineering - Dept. of Mathematics & Natural Sciences (Sektionen för ingenjörsvetenskap - Avd.för matematik och naturvetenskap) School of Engineering S-371 79 Karlskrona +46 455 38 50 00 http://www.bth.se/ing/ |
| Authors e-mail: | nib@bth.se |
| Language: | English |
| 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. |
| Subject: | Mathematics\Analysis Mathematics\General |
| Keywords: | Parabolic equations, Semi-invariant, Reducible equations |
| Note: | Volume title : Symmetries and Related Topics in Differential and Difference Equations |
