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TitleIntegrating Factors for Second-order ODEs
Author(s) Edgardo S. Cheb-Terrab, Austion D. Roche
TypeArticle in Journal
AbstractA systematic algorithm for building integrating factors of the form mü(x,y), mü(x,y') or mü(y,y') for second order ODEs is presented. The algorithm can determine the existence and explicit form of the integrating factors themselves without solving any differential equations, except for a linear ODE in one subcase of the mü(x; y) problem. Examples of ODEs not having point symmetries are shown to be solvable using this algorithm. The scheme was implemented in
Maple, in the framework of the ODEtools package and its ODE-solver. A comparison between this implementation and other computer algebra ODE-solvers in tackling non-linear examples from Kamke's book is shown.
Length19
CopyrightAcademic Press
File
URL dx.doi.org/10.1006/jsco.1999.0264
LanguageEnglish
JournalJournal of Symbolic Computation
Volume27
Number5
Pages501-519
Year1999
MonthApril
Edition0
Translation No
Refereed No
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