
deSolve
 Referenced in 50 articles
[sw04499]
 ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential ... problems of a system of firstorder ordinary differential equations (ODE), of partial differential equations...

ODEtools
 Referenced in 11 articles
[sw09257]
 analytical solving of firstorder ordinary differential equations (ODEs) using Lie group symmetry methods ... commands includes a firstorder ODE solver and routines for, among other things: the explicit...

ODESSA
 Referenced in 28 articles
[sw00647]
 simultaneous solution of ordinary differential equations and the associated firstorder parametric sensitivity equations, yielding...

FODE
 Referenced in 245 articles
[sw08377]
 paper, firstly the time fractional, the sense of RiemannLiouville derivative, FokkerPlanck equation ... transformed into a time fractional ordinary differential equation (FODE) in the sense of Caputo derivative ... equation, some numerical results for time fractional FokkerPlanck equation with several different fractional orders...

Lsolver
 Referenced in 4 articles
[sw09342]
 single rational first order ordinary differential equation (rational first order ODE), the Lsolver package presents...

VODE
 Referenced in 193 articles
[sw01005]
 stiff and nonstiff) systems of ordinary differential equations. The new package can be considered ... algorithms for initial stepsize and stepsize and order change are used. Moreover, in the stiff ... used in the solution of the implicit equations by quasi Newton methods. In this paper ... backward differentiation formula methods for stiff systems. They find that the first ones performs better...

KANTBP
 Referenced in 18 articles
[sw00482]
 secondorder ordinary differential equations which contain potential matrix elements and firstderivative coupling terms ... procedure based on the use of highorder accuracy approximations for calculating approximate eigensolutions...

LMEF
 Referenced in 3 articles
[sw13929]
 fitting for the numerical solution of ordinary differential equations. LMEF is a program written ... numerical solution of first order ordinary differential equations. Moreover, LMEF calculates the local truncation error...

SADE
 Referenced in 18 articles
[sw07076]
 ordinary differential equations, order and dimension reductions using Lie symmetries, classification of differential equations, Casimir ... QPSI) for the determination of quasipolynomial firstintegrals, Lie symmetries and invariant surfaces. Examples...

FiOrDi
 Referenced in 2 articles
[sw16767]
 elementary first integrals) of a class of rational second order ordinary differential equations (rational 2ODEs ... rational first order ordinary differential equations (rational 1ODEs). to deal, this time, with 2ODEs...

PSsolver
 Referenced in 1 article
[sw35104]
 Maple implementation to solve first order ordinary differential equations with Liouvillian solutions. We present ... Maple 14 for solving first order ordinary differential equations (FOODEs). The package implements the Prelle...

SENKIN
 Referenced in 20 articles
[sw12845]
 software to solve both the nonlinear ordinary differential equations that describe the temperature and species ... linear differential equations that describe the firstorder sensitivity coefficients of temperature and species composition...

LabFit
 Referenced in 1 article
[sw06003]
 fifth order), system of ordinary differential equations (first order ODE, up to five equations), approached...

Algorithm 982
 Referenced in 2 articles
[sw22551]
 Triangular Systems of FirstOrder Linear InitialValue Ordinary Differential Equations with Constant Coefficients ... triangular systems of firstorder linear initialvalue ordinary differential equations with constant coefficients...

opty
 Referenced in 1 article
[sw29116]
 collocation. opty utilizes symbolic descriptions of ordinary differential equations expressed with SymPy to form ... express the continuous first order ordinary differential equations of the system as symbolic expressions opty...

d02bhf
 Referenced in 1 article
[sw36288]
 d02bhf integrates a system of firstorder ordinary differential equations over an interval with suitable...

FiOrDii
 Referenced in 3 articles
[sw22211]
 search for first order invariants of second order ordinary differential equation (2ODEs) makes...

bvpsuite
 Referenced in 25 articles
[sw08540]
 solution of boundary value problems in ordinary differential equations. Motivated by applications, we are especially ... wide, including fully implicit problems of mixed orders, parameter dependent problems, problems with unknown parameters ... semiinfinite intervals, eigenvalue problems and differential algebraic equations of index 1. Our main focus ... which singularities in the differential operator arise. We first briefly recapitulate the analytical properties...

BRKF45
 Referenced in 2 articles
[sw00092]
 solving firstorder systems of nonstiff initial value problems for ordinary differential equations...

ADM
 Referenced in 7 articles
[sw08216]
 pollutants. A system of two partial differential equations is used for modelling of longrange ... transport of pollutants over Europe. The first order space derivatives (the advection terms) are discretized ... pseudospectral algorithm. A discretization of the second order spatial derivatives (the diffusion terms) is carried ... developed. The arising large systems of ordinary differential equations are integrated by a variable stepsize...