Solving boundary value problems in the open source software R: package bvpSolve

DOI10.7494/OpMath.2014.34.2.387zbMath1293.65104OpenAlexW2147518535WikidataQ114917472 ScholiaQ114917472MaRDI QIDQ5165768

Karline Soetaert, Jeff R. Cash, Francesca Mazzia

Publication date: 30 June 2014

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2014.34.2.387

zbMATH Keywords

boundary value problemsordinary differential equationsinitial value problemdifferential algebraic equationstest problemsFortransingular perturbation problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for differential-algebraic equations (65L80) Singular perturbations for ordinary differential equations (34E15) Packaged methods for numerical algorithms (65Y15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (13)

A new mesh selection strategy with stiffness detection for explicit Runge-Kutta methods ⋮ BS2 methods for semi-linear second order boundary value problems ⋮ Numerical solution of nonlinear differential boundary value problems using adaptive non-overlapping domain decomposition method ⋮ Constraint control of nonholonomic mechanical systems ⋮ A test set for stiff initial value problem solvers in the open source software R: Package \textbf{deTestSet} ⋮ Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere ⋮ Fluid statics of a self-gravitating perfect-gas isothermal sphere ⋮ Full 3D numerical relativity simulations of neutron star–boson star collisions with BAM ⋮ BvpSolve ⋮ Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator ⋮ Mesh selection strategies of the code TOM for boundary value problems ⋮ Spot Dynamics of a Reaction-Diffusion System on the Surface of a Torus ⋮ A minimum-time obstacle-avoidance path planning algorithm for unmanned aerial vehicles

Uses Software

• Maple
• Mathematica
• Octave
• R
• COLNEW
• RODAS
• deSolve
• deTestSet
• PMIRKDC
• MIRKDC
• RootSolve
• bvptwp.m
• twpbvp
• twpbvpl
• acdc
• COLSYS
• diffEq

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