Proceedings of the 2016 Joint International Information Technology, Mechanical and Electronic Engineering

Boubaker Polynomials and Their Applications to Numerical Solution of Differential Equations

Authors
Tinggang Zhao, Yongjun Li
Corresponding Author
Tinggang Zhao
Available Online October 2016.
DOI
10.2991/jimec-16.2016.49How to use a DOI?
Keywords
Boubaker polynomial, Boubaker-Legendre transform, BPES, Numerical solution.
Abstract

In this paper, Boubaker polynomials and the Boubaker polynomial expansion scheme (BPES) are discussed. We present a transform from Boubaker polynomial to Legendre orthogonal polynomials. 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 2016 Joint International Information Technology, Mechanical and Electronic Engineering
Series
Advances in Engineering Research
Publication Date
October 2016
ISBN
10.2991/jimec-16.2016.49
ISSN
2352-5401
DOI
10.2991/jimec-16.2016.49How 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  - 2016/10
DA  - 2016/10
TI  - Boubaker Polynomials and Their Applications to Numerical Solution of Differential Equations
BT  - Proceedings of the 2016 Joint International Information Technology, Mechanical and Electronic Engineering
PB  - Atlantis Press
SP  - 285
EP  - 288
SN  - 2352-5401
UR  - https://doi.org/10.2991/jimec-16.2016.49
DO  - 10.2991/jimec-16.2016.49
ID  - Zhao2016/10
ER  -