Solution of linear partial differential equations by Lie algebraic methods
[摘要] 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.
[发布日期] 1996-12-17 [发布机构]
[效力级别] [学科分类]
[关键词] linear partial differential equations;initial value problems;Lie algebras;Fer's factorization [时效性]
