Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)

A 6th-order Alternating Group Iterative Scheme for Two Point Boundary Value Problem

Authors
Yumin Shi, Peiying Zhao
Corresponding Author
Yumin Shi
Available Online March 2018.
DOI
10.2991/mmsa-18.2018.67How to use a DOI?
Keywords
sixth order alternating group iterative (AGI) scheme; two point boundary value problem; finite difference method ;convergence
Abstract

In this paper, a new sixth order alternating group iterative (AGI) scheme is derived based on the two point boundary value problem. The scheme is capable of parallel computation; sixth order accurate in space .The numerical examples show that this AGI scheme are more accurate than the fourth order alternating group iterative scheme . It shows that the analysis is correct and the algorithm is feasible and efficient.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)
Series
Advances in Intelligent Systems Research
Publication Date
March 2018
ISBN
978-94-6252-499-6
ISSN
1951-6851
DOI
10.2991/mmsa-18.2018.67How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Yumin Shi
AU  - Peiying Zhao
PY  - 2018/03
DA  - 2018/03
TI  - A 6th-order Alternating Group Iterative Scheme for Two Point Boundary Value Problem
BT  - Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)
PB  - Atlantis Press
SP  - 303
EP  - 306
SN  - 1951-6851
UR  - https://doi.org/10.2991/mmsa-18.2018.67
DO  - 10.2991/mmsa-18.2018.67
ID  - Shi2018/03
ER  -