Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method

DOI10.1016/j.cam.2019.03.004OpenAlexW2932930284WikidataQ128218102 ScholiaQ128218102MaRDI QIDQ2000610

Ivan D. Gospodinov, Stefan M. Filipov, István Faragó

Publication date: 28 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.03.004

zbMATH Keywords

finite difference methodNewtonquasi-linearizationPicardconstant-slopelinear shooting

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) 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)

Related Items (5)

Mathematical modelling of nonlinear heat conduction with relaxing boundary conditions ⋮ A class of linearization-based collocation methods for initial value and boundary value engineering problems ⋮ Multiscale orthonormal method for nonlinear system of BVPs ⋮ Least-squares solutions of boundary-value problems in hybrid systems ⋮ Existence of a priori bounded solutions for discrete two-point boundary value problems

Uses Software

• Matlab

Cites Work

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