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Numerical Algorithms
Erschienen in: Numerical Algorithms 4/2021

07.10.2020 | Original Paper

Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem

verfasst von: Quang A Dang, Quang Long Dang

Erschienen in: Numerical Algorithms | Ausgabe 4/2021

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Abstract

In this paper, we consider a fully third-order nonlinear boundary value problem that is of great interest of many researchers. First, we establish the existence and uniqueness of solution. Next, we propose simple iterative methods on both continuous and discrete levels. We prove that the discrete methods are of second-order and third-order of accuracy due to the use of appropriate formulas for numerical integration and obtain estimate for total error. Some examples demonstrate the validity of the obtained theoretical results and the efficiency of the iterative methods.
Vorheriger Artikel Waveform relaxation for fractional sub-diffusion equations
Nächster Artikel New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization

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Metadaten
Titel
Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem
verfasst von
Quang A Dang
Quang Long Dang
Publikationsdatum
07.10.2020
Verlag
Springer US
Erschienen in
Numerical Algorithms / Ausgabe 4/2021
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-01016-2

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