An extension of the Prelle-Singer method and a Maple implementation

Computer Physics Communications

Volumn 144, Issue 1, 2002, Pages 46-62

  Duarte, L G S ^a   Duarte, S E S ^b   Da Mota, L A C P ^a   Skea, J E F ^a  

^a STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b ESTÁCIO DE SÁ UNIVERSITY   (Brazil)

Author keywords

First order ordinary diffential equations; Liouvilian and elementary functions; Prelle Singer procedure; Symbolic computation

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; COMPUTER SOFTWARE; DECISION THEORY; FUNCTIONS;

SYMBOLIC COMPUTATION;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0037086912     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4655(01)00462-3     Document Type: Article

References (14)

1. Liouvillian first integrals of differential equations
2. Tackling FOODEs with Liouvillian solutions within the PS-procedure
3. The problem of integration in finite terms
4. Elementary first integrals of differential equations
5. Symmetries and differential equations
6. Computing closed form solutions of first order ODEs using the Prelle-Singer procedure
7. Computer algebra solving of first order ODEs using symmetry methods
8. Computer algebra solving of second order ODEs using symmetry methods
9. A rational approach to the Prelle-Singer algorithm
10. Algebraic properties of the elementary functions of analysys