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Engineering with Computers
Erschienen in: Engineering with Computers 4/2021

06.04.2020 | Original Article

A new sixth-order approximation for nonlinear two-point boundary value problems: application of single-step alternating group explicit iteration method to engineering problems

verfasst von: Pinaki Ranjan Mohanty

Erschienen in: Engineering with Computers | Ausgabe 4/2021

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Abstract

We report a new three-point compact sixth-order approximation for the solution of nonlinear two-point boundary value problems \( {-}w^{\prime\prime} + f\left( {t,w} \right) = 0 \), subject to natural boundary conditions prescribed at two end points. We also discuss the application of single-step alternating group explicit (SAGE) iteration method to the nonlinear difference equation as a computational tool. The error analysis of the SAGE iteration method is discussed briefly. We have compared the results obtained by using the proposed SAGE iteration method with the results obtained by corresponding two-step alternating group explicit iteration method to demonstrate experimentally the superiority of the proposed method.
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Metadaten
Titel
A new sixth-order approximation for nonlinear two-point boundary value problems: application of single-step alternating group explicit iteration method to engineering problems
verfasst von
Pinaki Ranjan Mohanty
Publikationsdatum
06.04.2020
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2021
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-020-01016-9

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