Symbolic Solving of Partial Differential Equation Systems and Compatibility Conditions


Autoria(s): Malaschonok, Natasha
Data(s)

23/04/2014

23/04/2014

2013

Resumo

An algorithm is produced for the symbolic solving of systems of partial differential equations by means of multivariate Laplace–Carson transform. A system of K equations with M as the greatest order of partial derivatives and right-hand parts of a special type is considered. Initial conditions are input. As a result of a Laplace–Carson transform of the system according to initial condition we obtain an algebraic system of equations. A method to obtain compatibility conditions is discussed.

Supported by RFBR, No.12-07-00755-a, RusMES No.1.345.2011

Identificador

Serdica Journal of Computing, Vol. 7, No 3, (2013), 199p-214p

1312-6555

http://hdl.handle.net/10525/2337

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Laplace–Carson transform #systems of partial differential equations #symbolic solving #compatibility conditions
Tipo

Article