• 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 first-order ordinary differential equations (ODE), of partial differential equations...
  • ODEtools

  • Referenced in 11 articles [sw09257]
  • analytical solving of first-order ordinary differential equations (ODEs) using Lie group symmetry methods ... commands includes a first-order 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 first-order parametric sensitivity equations, yielding...
  • FODE

  • Referenced in 245 articles [sw08377]
  • paper, firstly the time fractional, the sense of Riemann-Liouville derivative, Fokker-Planck equation ... transformed into a time fractional ordinary differential equation (FODE) in the sense of Caputo derivative ... equation, some numerical results for time fractional Fokker-Planck 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 non-stiff) 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]
  • second-order ordinary differential equations which contain potential matrix elements and first-derivative coupling terms ... procedure based on the use of high-order 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 quasi-polynomial first-integrals, 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 first-order 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 First-Order Linear Initial-Value Ordinary Differential Equations with Constant Coefficients ... triangular systems of first-order linear initial-value 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 first-order 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 ... semi-infinite 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 first-order 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 long-range ... 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...