Solvers for Initial Value Problems of Differential Equations ('ODE', 'DAE', 'DDE')

Functions that solve initial value problems of a system of first-order ordinary differential equations ('ODE'), of partial differential equations ('PDE'), of differential algebraic equations ('DAE'), and of delay differential equations. The functions provide an interface to the FORTRAN functions 'lsoda', 'lsodar', 'lsode', 'lsodes' of the 'ODEPACK' collection, to the FORTRAN functions 'dvode', 'zvode' and 'daspk' and a C-implementation of solvers of the 'Runge-Kutta' family with fixed or variable time steps. The package contains routines designed for solving 'ODEs' resulting from 1-D, 2-D and 3-D partial differential equations ('PDE') that have been converted to 'ODEs' by numerical differencing.


Reference manual

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install.packages("deSolve")

1.42 by Thomas Petzoldt, 7 months ago


https://github.com/tpetzoldt/deSolve/


Browse source code at https://github.com/cran/deSolve


Authors: Karline Soetaert [aut] , Thomas Petzoldt [aut, cre] (ORCID: , R. Woodrow Setzer [aut] (ORCID: , Peter N. Brown [ctb] (files ddaspk.f , dvode.f , zvode.f) , George D. Byrne [ctb] (files dvode.f , zvode.f) , Ernst Hairer [ctb] (files radau5.f , radau5a) , Alan C. Hindmarsh [ctb] (files ddaspk.f , dlsode.f , dvode.f , zvode.f , opdkmain.f , opdka1.f) , Cleve Moler [ctb] (file dlinpck.f) , Linda R. Petzold [ctb] (files ddaspk.f , dlsoda.f) , Youcef Saad [ctb] (file dsparsk.f) , Clement W. Ulrich [ctb] (file ddaspk.f)


Documentation:   PDF Manual  


GPL (>= 2) license


Imports methods, graphics, grDevices, stats

Suggests scatterplot3d, nlme, FME


Imported by ARGOS, ATNr, AssetPricing, BayesianDEB, CRABS, CollocInfer, DAISIE, DAMOCLES, DDD, DSAIDE, DSAIRM, EpiDynamics, EpiNova, EpidigiR, EvolutionaryGames, HHBayes, MCSimMod, MGDrivE2, PBD, PFIM, PINNProgCens, REMixed, RLumModel, Rato, StrathE2E2, TIMP, TrenchR, ZeBook, asbio, asteRisk, biogrowth, bioinactivation, care4cmodel, covid19.analytics, cvasi, dMod, deBif, deFit, diversitree, dynemu, dynr, ecostatscale, epifitter, evoper, flexsurv, gauseR, geiger, ggvfields, httk, hypergeo, icmstate, idopNetwork, isobxr, landsepi, lemna, magi, mizer, mkin, morse, morseTKTD, multigroup.vaccine, mvDFA, nhm, odeGUTS, odin, pCODE, pksensi, pomp, raem, readsdr, rescomp, rodeo, scaRabee, sdbuildR, seairmobility, sensobol, simode, soilassessment, soilfoodwebs, spDBL, spdynmod, stagePop, streambugs, tdsa, tfNeuralODE, tidywater, tseriesChaos, ubiquity.

Depended on by DIMORA, DivE, EpiModel, EpiSimR, FME, GPoM, ReacTran, SoilR, TDCor, bvpSolve, deBInfer, ecolMod, ecosim, embryogrowth, epimdr, epimdr2, fda, growthrates, hgm, hisse, microPop, neuRosim, primer, simecol, whalestrike.

Suggested by AquaEnv, BioCro, LoopDetectR, PBSmodelling, PopED, RandomWalker, Sim.DiffProc, amp.sim, astronomR, cOde, calibrar, chouca, csmbuilder, dde, denim, fastbeta, fuzzyurn, grandR, greta.dynamics, hmde, hmer, lsoda, mistral, predmicror, r2sundials, shinytest2, smfsb, waydown.


See at CRAN