Numerical approximation of nonlinear BVPs by means of BVMs

DOI10.1016/S0168-9274(01)00159-3zbMath0999.65076WikidataQ62027894 ScholiaQ62027894MaRDI QIDQ1612466

Francesca Mazzia, Ivonne Sgura

Publication date: 22 August 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesnumerical experimentsnonlinear boundary value problemsNewton methodstiff problemsnonlinear differential equationboundary value methodsquasi-linearizationmesh selection strategy

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (7)

Constraint control of nonholonomic mechanical systems ⋮ A finite differences MATLAB code for the numerical solution of second order singular perturbation problems ⋮ High-order finite difference schemes for the solution of second-order BVPs ⋮ The continuous extension of the B-spline linear multistep methods for BVPs on non-uniform meshes ⋮ Optimal management and spatial patterns in a distributed shallow lake model ⋮ A new mesh selection algorithm, based on conditioning, for two-point boundary value codes ⋮ The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems

Uses Software

• MIRKDC

Cites Work

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• An inexact Newton method for nonlinear two-point boundary-value problems
• A new mesh selection strategy for ODEs
• A hybrid mesh selection strategy based on conditioning for boundary value ODE problems
• Implementation issues in solving nonlinear equations for two-point boundary value problems
• A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation
• Inexact Newton Methods
• Convergence behaviour of inexact Newton methods
• Runge–Kutta Software with Defect Control for Boundary Value ODE<scp>s</scp>

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