deSolve: 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.

Version: 1.40
Depends: R (≥ 3.3.0)
Imports: methods, graphics, grDevices, stats
Suggests: scatterplot3d, FME
Published: 2023-11-27
DOI: 10.32614/CRAN.package.deSolve
Author: Karline Soetaert ORCID iD [aut], Thomas Petzoldt ORCID iD [aut, cre], R. Woodrow Setzer ORCID iD [aut], 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)
Maintainer: Thomas Petzoldt <thomas.petzoldt at>
License: GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]
NeedsCompilation: yes
Citation: deSolve citation info
Materials: NEWS
In views: DifferentialEquations, Epidemiology
CRAN checks: deSolve results


Reference manual: deSolve.pdf
Vignettes: R Package deSolve: Writing Code in Compiled Languages
R Package deSolve: Solving Initial Value Differential Equations in R


Package source: deSolve_1.40.tar.gz
Windows binaries: r-devel:, r-release:, r-oldrel:
macOS binaries: r-release (arm64): deSolve_1.40.tgz, r-oldrel (arm64): deSolve_1.40.tgz, r-release (x86_64): deSolve_1.40.tgz, r-oldrel (x86_64): deSolve_1.40.tgz
Old sources: deSolve archive

Reverse dependencies:

Reverse depends: deBInfer, DIMORA, DivE, ecolMod, ecosim, embryogrowth, epimdr, epimdr2, EpiModel, fda, FME, GPoM, growthrates, hgm, hisse, MEIGOR, microPop, neuRosim, ODEnetwork, ODEsensitivity, primer, ReacTran, SBMLR, shinySIR, simecol, SoilR, TDCor, TESS
Reverse imports: ARGOS, asbio, AssetPricing, asteRisk, ATNr, biogrowth, bioinactivation, capm, care4cmodel, CollocInfer,, CRABS, cvasi, DAISIE, DAMOCLES, DDD, deBif, deFit, diversitree, dMod, doremi, DSAIDE, DSAIRM, dynr, ecostatscale, EpiDynamics, epifitter, EvolutionaryGames, evoper, fitode, flexsurv, gauseR, geiger, httk, hypergeo, idmodelr, idopNetwork, INSPEcT, isobxr, landsepi, lemna, magi, MGDrivE2, miaSim, mizer, mkin, morse, mvDFA, nhm, odeGUTS, odin, PBD, pCODE, PFIM, phaseR, pksensi, pomp, readsdr, RLumModel, rodeo, RPANDA, rstpm2, rties, scaRabee, seeds, sensobol, simode, snvecR, soilassessment, soilfoodwebs, spdynmod, stagePop, StrathE2E2, streambugs, takos, tdsa, tfNeuralODE, TimerQuant, TIMP, TrenchR, tseriesChaos, ubiquity, ZeBook
Reverse suggests: AquaEnv, BioCro, calibrar, chouca, cOde, dde, denim, fastbeta, grandR, greta.dynamics, hmer, LoopDetectR, mistral, paropt, PBSmodelling, PopED, r2sundials, shinytest2, Sim.DiffProc, smfsb, waydown


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