A Two Point Difference Scheme of an Arbitrary Order of Accuracy for BVPS for Systems of First Order Nonlinear Odes

DOI10.2478/CMAM-2004-0026zbMath1068.65102OpenAlexW2033911265MaRDI QIDQ4654174

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

Publication date: 3 March 2005

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2004-0026

zbMATH Keywords

algorithmnumerical exampleboundary value problemsfixed point iterationexact difference schemesystems of nonlinear ordinary differential equationstruncated difference scheme

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) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (4)

Difference schemes of arbitrary order of accuracy for semilinear parabolic equations ⋮ Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers ⋮ Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs ⋮ Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations

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