Maple Professionel
Maple Académique
Maple Edition Étudiant
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professionel
MapleSim Académique
Maple T.A. - Suite d'examens de classement
Maple T.A. MAA Placement Test Suite
Möbius - Didacticiels de mathématiques en ligne
Machine Design / Industrial Automation
Aéronautique
Ingénierie des véhicules
Robotics
Energie
System Simulation and Analysis
Model development for HIL
Modélisation du procédé pour la conception de systèmes de contrôle
Robotics/Motion Control/Mechatronics
Other Application Areas
Enseignement des mathématiques
Enseignement de l’ingénierie
Enseignement secondaire et supérieur (CPGE, BTS)
Tests et évaluations
Etudiants
Modélisation financière
Recherche opérationnelle
Calcul haute performance
Physique
Webinaires en direct
Webinaires enregistrés
Agenda des évènements
Forum MaplePrimes
Blog Maplesoft
Membres Maplesoft
Maple Ambassador Program
MapleCloud
Livres blancs techniques
Bulletin électronique
Livres Maple
Math Matters
Portail des applications
Galerie de modèles MapleSim
Cas d'Etudes Utilisateur
Exploring Engineering Fundamentals
Concepts d’enseignement avec Maple
Centre d’accueil utilisateur Maplesoft
Centre de ressources pour enseignants
Centre d’assistance aux étudiants
Ore_algebra[Ore_to_diff] - convert a differential operator to a differential equation
Ore_algebra[Ore_to_shift] - convert a shift operator to a recurrence equation
Ore_algebra[Ore_to_DESol] - convert a differential operator to a DESol structure
Ore_algebra[Ore_to_RESol] - convert a shift operator to an RESol structure
Calling Sequence
Ore_to_diff(G, f, A)
Ore_to_diff(G, f, A, 'D')
Ore_to_shift(G, u, A)
Ore_to_shift(G, u, A, 'indexed')
Ore_to_DESol(P, f, A)
Ore_to_RESol(P, u, A)
Parameters
G
-
list of operators of the Ore algebra A
P
operator of the Ore algebra A
f
expression denoting a mathematical function
A
Ore algebra table
Description
The Ore_to_diff command converts a differential operator or a list of differential operators of the skew algebra A into a differential equation or a list of differential equations in the function f. The output is expressed in terms of the diff function by default, or in terms of the D function when the optional parameter is set.
The Ore_to_DESol command converts a single differential operator of the skew algebra A into a DESol structure in the function f.
The Ore_to_shift command converts a shift operator or a list of shift operators of the skew algebra A into a recurrence equation or a list of recurrence equations in the sequence u. The output is expressed in functional notation ( ) by default, or in the indexed notation ( ) when the optional argument is set.
The Ore_to_RESol command converts a single recurrence operator of the skew algebra A into an RESol structure in the sequence u.
Examples
Differential case.
Euler case.
Recurrence case.
Multivariate differential case.
These are operators for BesselJ(mu,x*y^2).
No conversion is available to a multivariate DESol.
Error, invalid input: Ore_algebra:-Ore_to_DESol expects its 1st argument, poly, to be of type polynom, but received [-2*x*Dx+Dy*y, -4*(mu-x*y^2)*(mu+x*y^2)+2*x*Dx+y^2*Dy^2, -2*(mu-x*y^2)*(mu+x*y^2)+Dy*Dx*y*x, -(mu-x*y^2)*(mu+x*y^2)+x*Dx+x^2*Dx^2]
See Also
Ore_algebra, Ore_algebra/applyopr, Ore_algebra/skew_algebra
Download Help Document