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deSolve (version 1.8.1)

General solvers for initial value problems of ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential equations (DDE).

Description

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 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.

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Version

Install

install.packages('deSolve')

Monthly Downloads

42,898

Version

1.8.1

License

GPL (>= 2)

Maintainer

R. Setzer

Last Published

October 2nd, 2010

Functions in deSolve (1.8.1)

aquaphy

A Physiological Model of Unbalanced Algal Growth
SCOC

A Sediment Model of Oxygen Consumption
lsoda

Solver for Ordinary Differential Equations (ODE), Switching Automatically Between Stiff and Non-stiff Methods
lsodes

Solver for Ordinary Differential Equations (ODE) With Sparse Jacobian
forcings

Passing Forcing Functions to Models Written in R or Compiled Code.
daspk

Solver for Differential Algebraic Equations (DAE)
plot.deSolve

Plot and Histogram Method for deSolve Objects
rk

Explicit One-Step Solvers for Ordinary Differential Equations (ODE)
events

Implementing Events in Differential Equation Models.
ode.2D

Solver for 2-Dimensional Ordinary Differential Equations
rkMethod

Collection of Parameter Sets (Butcher Arrays) for the Runge-Kutta Family of ODE Solvers
lsodar

Solver for Ordinary Differential Equations (ODE), Switching Automatically Between Stiff and Non-stiff Methods and With Root Finding
diagnostics

Print Diagnostic Characteristics of Solvers
lsode

Solver for Ordinary Differential Equations (ODE)
timelags

Time Lagged Values of State Variables and Derivatives.
zvode

Solver for Ordinary Differential Equations (ODE) for COMPLEX variables
radau

Implicit Runge-Kutta RADAU IIA
deSolve-package

General Solvers for Initial Value Problems of Ordinary Differential Equations (ODE), Partial Differential Equations (PDE), Differential Algebraic Equations (DAE) and delay differential equations (DDE).
DLLres

Evaluates a Residual Derivative Function Represented in a DLL
diagnostics.deSolve

Print Diagnostic Characteristics of ODE and DAE Solvers
ode.3D

Solver for 3-Dimensional Ordinary Differential Equations
vode

Solver for Ordinary Differential Equations (ODE)
ode

General Solver for Ordinary Differential Equations
DLLfunc

Evaluates a Derivative Function Represented in a DLL
ode.1D

Solver For Multicomponent 1-D Ordinary Differential Equations
dede

General Solver for Delay Differential Equations.
ccl4model

The CCl4 Inhalation Model
ccl4data

Closed Chamber Study of CCl4 Metabolism by Rats.
ode.band

Solver for Ordinary Differential Equations; Assumes a Banded Jacobian
rk4

Solve System of ODE (Ordinary Differential Equation)s by Euler's Method or Classical Runge-Kutta 4th Order Integration.