Solution of linear partial differential equations by Lie algebraic methods

✍ Scribed by Fernando Casas

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 568 KB
• Volume: 76
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(96)00099-4

✦ Synopsis

A new algorithm is proposed for obtaining explicit solutions of the Cauchy problem defined by a certain class of partial differential equations (PDE) of parabolic type. The algorithm exploits the algebraic structure of the problem to transform the PDE into an ordinary matrix differential equation, which is then solved by Lie algebraic techniques.