Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers

DOI10.1155/ADE/2006/12167zbMath1139.65057OpenAlexW1965088360WikidataQ59212267 ScholiaQ59212267MaRDI QIDQ2472203

Ivan P. Gavrilyuk, Martin Hermann, Volodymyr L. Makarov, M. V. Kutniv

Publication date: 20 February 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54262

zbMATH Keywords

numerical examplesdifference schemesimplementationtwo-point boundary value problemstruncated difference schemesystems of first-order nonlinear ordinary differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

A MATLAB-linked solver to find fuel depletion in a PWR, a suggested VVER-1000 type ⋮ Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs ⋮ An efficient approach for solving stiff nonlinear boundary value problems ⋮ Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations

Uses Software

• RWPM

Cites Work

• A simple approach to a sensitive two-point boundary value problem
• RWPM: A software package of shooting methods for nonlinear two-point boundary value problems
• Three-point difference schemes of high accuracy order for systems of nonlinear ordinary differential equations of the second order
• Solving Ordinary Differential Equations I
• Numerical-Analytic Methods in the Theory of Boundary-Value Problems
• A Two Point Difference Scheme of an Arbitrary Order of Accuracy for BVPS for Systems of First Order Nonlinear Odes
• Numerik gewöhnlicher Differentialgleichungen
• Homogeneous difference schemes
• Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation
• Accurate three-point difference schemes for second-order monotone ordinary differential equations and their implementation
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