Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method

Faranak Rabiei; Fudziah Ismail; Saeid Emadi

doi:10.5176/2251-1911_CMCGS14.18_15

Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method

Faranak Rabiei, Fudziah Ismail, Saeid Emadi

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

Abstract

In this paper the fuzzy improved Runge–Kutta method of order four for solving first-order fuzzy differential equations is proposed. The scheme is two step in nature and is based on the fourth-order improved Runge–Kutta method for solving first-order ordinary differential equations. The numerical examples are tested to illustrate the efficiency of method.

Original language	English
Title of host publication	Forging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry
Editors	Ke Chen, Anton Ravindran
Publisher	Springer
Pages	167-177
Number of pages	11
ISBN (Print)	9783319161389
DOIs	https://doi.org/10.5176/2251-1911_CMCGS14.18_15
Publication status	Published - 2016
Externally published	Yes
Event	Annual International Conference on Computational Mathematics, Computational Geometry and Statistics 2014 - Singapore, Singapore Duration: 3 Feb 2014 → 4 Feb 2014 Conference number: 3rd

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	124
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	Annual International Conference on Computational Mathematics, Computational Geometry and Statistics 2014
Abbreviated title	CMCGS 2014
Country/Territory	Singapore
City	Singapore
Period	3/02/14 → 4/02/14

Keywords

Fuzzy differential equations
Fuzzy improved Runge–Kutta method
Improved Runge–Kutta method
Two-step methods

Access to Document

10.5176/2251-1911_CMCGS14.18_15

Cite this

Rabiei, F., Ismail, F., & Emadi, S. (2016). Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method. In K. Chen, & A. Ravindran (Eds.), Forging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry (pp. 167-177). (Springer Proceedings in Mathematics and Statistics; Vol. 124). Springer. https://doi.org/10.5176/2251-1911_CMCGS14.18_15

Rabiei, Faranak ; Ismail, Fudziah ; Emadi, Saeid. / Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method. Forging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry. editor / Ke Chen ; Anton Ravindran. Springer, 2016. pp. 167-177 (Springer Proceedings in Mathematics and Statistics).

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title = "Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method",

abstract = "In this paper the fuzzy improved Runge–Kutta method of order four for solving first-order fuzzy differential equations is proposed. The scheme is two step in nature and is based on the fourth-order improved Runge–Kutta method for solving first-order ordinary differential equations. The numerical examples are tested to illustrate the efficiency of method.",

keywords = "Fuzzy differential equations, Fuzzy improved Runge–Kutta method, Improved Runge–Kutta method, Two-step methods",

author = "Faranak Rabiei and Fudziah Ismail and Saeid Emadi",

note = "Funding Information: This research has been financed by University Putra Malaysia using Universiti Putra grant with project number GP-IPM/2013/9405100 at the Institute For Mathematical Research, Universiti Putra Malaysia. Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.; Annual International Conference on Computational Mathematics, Computational Geometry and Statistics 2014, CMCGS 2014 ; Conference date: 03-02-2014 Through 04-02-2014",

year = "2016",

doi = "10.5176/2251-1911_CMCGS14.18_15",

language = "English",

isbn = "9783319161389",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "167--177",

editor = "Ke Chen and Anton Ravindran",

booktitle = "Forging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry",

}

Rabiei, F, Ismail, F & Emadi, S 2016, Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method. in K Chen & A Ravindran (eds), Forging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry. Springer Proceedings in Mathematics and Statistics, vol. 124, Springer, pp. 167-177, Annual International Conference on Computational Mathematics, Computational Geometry and Statistics 2014, Singapore, Singapore, 3/02/14. https://doi.org/10.5176/2251-1911_CMCGS14.18_15

Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method. / Rabiei, Faranak; Ismail, Fudziah; Emadi, Saeid.
Forging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry. ed. / Ke Chen; Anton Ravindran. Springer, 2016. p. 167-177 (Springer Proceedings in Mathematics and Statistics; Vol. 124).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

TY - GEN

T1 - Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method

AU - Rabiei, Faranak

AU - Ismail, Fudziah

AU - Emadi, Saeid

N1 - Conference code: 3rd

PY - 2016

Y1 - 2016

N2 - In this paper the fuzzy improved Runge–Kutta method of order four for solving first-order fuzzy differential equations is proposed. The scheme is two step in nature and is based on the fourth-order improved Runge–Kutta method for solving first-order ordinary differential equations. The numerical examples are tested to illustrate the efficiency of method.

AB - In this paper the fuzzy improved Runge–Kutta method of order four for solving first-order fuzzy differential equations is proposed. The scheme is two step in nature and is based on the fourth-order improved Runge–Kutta method for solving first-order ordinary differential equations. The numerical examples are tested to illustrate the efficiency of method.

KW - Fuzzy differential equations

KW - Fuzzy improved Runge–Kutta method

KW - Improved Runge–Kutta method

KW - Two-step methods

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U2 - 10.5176/2251-1911_CMCGS14.18_15

DO - 10.5176/2251-1911_CMCGS14.18_15

M3 - Conference Paper

AN - SCOPUS:84955255549

SN - 9783319161389

T3 - Springer Proceedings in Mathematics and Statistics

SP - 167

EP - 177

BT - Forging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry

A2 - Chen, Ke

A2 - Ravindran, Anton

PB - Springer

T2 - Annual International Conference on Computational Mathematics, Computational Geometry and Statistics 2014

Y2 - 3 February 2014 through 4 February 2014

ER -

Rabiei F, Ismail F, Emadi S. Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method. In Chen K, Ravindran A, editors, Forging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry. Springer. 2016. p. 167-177. (Springer Proceedings in Mathematics and Statistics). doi: 10.5176/2251-1911_CMCGS14.18_15

Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method

Abstract

Publication series

Conference

Keywords

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Cite this