An efficient numerical method for solving chaotic and non-chaotic systems

Banan Maayah; Samia Bushnaq; Ahmed Alsaedi; Shaher Momani

An efficient numerical method for solving chaotic and non-chaotic systems

Banan Maayah
, Samia Bushnaq
, Ahmed Alsaedi
, Shaher Momani

University of Jordan
Princess Sumaya University for Technology
Faculty of Sciences, King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this article, a numerical scheme based on reproducing kernel Hilbert space method, namely multistep reproducing kernel Hilbert space method (MRKHSM), is devised to solve Chaotic and non-Chaotic systems. This algorithm is applied to Chaotic and non-Chaotic differential equations that model the Lotka-Voltera, Chen, Lorenz and Rossler systems. The numerical results demonstrate that the Multistep reproducing kernel Hilbert space method is reliable method for solving nonlinear problems.

Original language	English
Pages (from-to)	219-231
Number of pages	13
Journal	Journal of the Ramanujan Mathematical Society
Volume	33
Issue number	3
State	Published - Sep 2018
Externally published	Yes

Cite this

@article{f9cdda9458944656ae7a4953ab4d5fc3,

title = "An efficient numerical method for solving chaotic and non-chaotic systems",

abstract = "In this article, a numerical scheme based on reproducing kernel Hilbert space method, namely multistep reproducing kernel Hilbert space method (MRKHSM), is devised to solve Chaotic and non-Chaotic systems. This algorithm is applied to Chaotic and non-Chaotic differential equations that model the Lotka-Voltera, Chen, Lorenz and Rossler systems. The numerical results demonstrate that the Multistep reproducing kernel Hilbert space method is reliable method for solving nonlinear problems.",

author = "Banan Maayah and Samia Bushnaq and Ahmed Alsaedi and Shaher Momani",

year = "2018",

month = sep,

language = "English",

volume = "33",

pages = "219--231",

journal = "Journal of the Ramanujan Mathematical Society",

issn = "0970-1249",

publisher = "Ramanujan Mathematical Society",

number = "3",

}

TY - JOUR

T1 - An efficient numerical method for solving chaotic and non-chaotic systems

AU - Maayah, Banan

AU - Bushnaq, Samia

AU - Alsaedi, Ahmed

AU - Momani, Shaher

PY - 2018/9

Y1 - 2018/9

N2 - In this article, a numerical scheme based on reproducing kernel Hilbert space method, namely multistep reproducing kernel Hilbert space method (MRKHSM), is devised to solve Chaotic and non-Chaotic systems. This algorithm is applied to Chaotic and non-Chaotic differential equations that model the Lotka-Voltera, Chen, Lorenz and Rossler systems. The numerical results demonstrate that the Multistep reproducing kernel Hilbert space method is reliable method for solving nonlinear problems.

AB - In this article, a numerical scheme based on reproducing kernel Hilbert space method, namely multistep reproducing kernel Hilbert space method (MRKHSM), is devised to solve Chaotic and non-Chaotic systems. This algorithm is applied to Chaotic and non-Chaotic differential equations that model the Lotka-Voltera, Chen, Lorenz and Rossler systems. The numerical results demonstrate that the Multistep reproducing kernel Hilbert space method is reliable method for solving nonlinear problems.

UR - https://www.scopus.com/pages/publications/85052191378

M3 - Article

AN - SCOPUS:85052191378

SN - 0970-1249

VL - 33

SP - 219

EP - 231

JO - Journal of the Ramanujan Mathematical Society

JF - Journal of the Ramanujan Mathematical Society

IS - 3

ER -

An efficient numerical method for solving chaotic and non-chaotic systems

Abstract

Other files and links

Fingerprint

Cite this