Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016)

Boubaker Polynomial Spectral-like Method for Numerical Solution of Differential Equations

Authors
Tinggang Zhao, Yongjun Li
Corresponding Author
Tinggang Zhao
Available Online September 2016.
DOI
https://doi.org/10.2991/icence-16.2016.59How to use a DOI?
Keywords
Boubaker polynomial, Boubaker-Legendre transform, BPES, Numerical solution.
Abstract

In this paper, we present a spectral-like method with Boubaker polynomials to solving numerically some differential equations. The Boubaker polynomial expansion scheme (BPES) are also discussed. A transform from Boubaker polynomial to shifted Legendre orthogonal polynomials is derived. By this transform, the spectral-type numerical method using Boubaker polynomial can be deduced for seeking numerical solution of differential equations.

Copyright
© 2016, 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 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016)
Series
Advances in Computer Science Research
Publication Date
September 2016
ISBN
978-94-6252-229-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/icence-16.2016.59How to use a DOI?
Copyright
© 2016, 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  - Tinggang Zhao
AU  - Yongjun Li
PY  - 2016/09
DA  - 2016/09
TI  - Boubaker Polynomial Spectral-like Method for Numerical Solution of Differential Equations
BT  - Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016)
PB  - Atlantis Press
SP  - 280
EP  - 285
SN  - 2352-538X
UR  - https://doi.org/10.2991/icence-16.2016.59
DO  - https://doi.org/10.2991/icence-16.2016.59
ID  - Zhao2016/09
ER  -