Numerical Solution of Fuzzy Differential Equations by two-step Modified Simpson Rule

Ekhtiar Khodadadi; Mesut Karabacak; Ercan Celık

doi:10.47000/tjmcs.1721161

Numerical Solution of Fuzzy Differential Equations by two-step Modified Simpson Rule

Abstract

For the fuzzy first-order initial value issue, a numerical explicit two-step modified Simpson rule is presented in this study. The convergence and stability of the proposed rule are demonstrated, and its application is shown with some examples.

Keywords

References

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Details

Primary Language

English

Subjects

Fuzzy Computation

Journal Section

Research Article

Authors

Ekhtiar Khodadadi
0000-0002-6679-4873
Iran

Mesut Karabacak
0000-0002-0057-8115
Türkiye

Ercan Celık ^*
0000-0001-5971-7653
Kyrgyzstan

Publication Date

June 30, 2026

Submission Date

June 17, 2025

Acceptance Date

January 25, 2026

Published in Issue

Year 2026 Volume: 18 Number: 2

DOI

https://doi.org/10.47000/tjmcs.1721161

IZ

https://izlik.org/JA22AM84KK

Cite

RIS / Bibtex

APA

Khodadadi, E., Karabacak, M., & Celık, E. (2026). Numerical Solution of Fuzzy Differential Equations by two-step Modified Simpson Rule. Turkish Journal of Mathematics and Computer Science, 18(2), 552-566. https://doi.org/10.47000/tjmcs.1721161

AMA

1.Khodadadi E, Karabacak M, Celık E. Numerical Solution of Fuzzy Differential Equations by two-step Modified Simpson Rule. TJMCS. 2026;18(2):552-566. doi:10.47000/tjmcs.1721161

Chicago

Khodadadi, Ekhtiar, Mesut Karabacak, and Ercan Celık. 2026. “Numerical Solution of Fuzzy Differential Equations by Two-Step Modified Simpson Rule”. Turkish Journal of Mathematics and Computer Science 18 (2): 552-66. https://doi.org/10.47000/tjmcs.1721161.

EndNote

Khodadadi E, Karabacak M, Celık E (June 1, 2026) Numerical Solution of Fuzzy Differential Equations by two-step Modified Simpson Rule. Turkish Journal of Mathematics and Computer Science 18 2 552–566.

IEEE

[1]E. Khodadadi, M. Karabacak, and E. Celık, “Numerical Solution of Fuzzy Differential Equations by two-step Modified Simpson Rule”, TJMCS, vol. 18, no. 2, pp. 552–566, June 2026, doi: 10.47000/tjmcs.1721161.

ISNAD

Khodadadi, Ekhtiar - Karabacak, Mesut - Celık, Ercan. “Numerical Solution of Fuzzy Differential Equations by Two-Step Modified Simpson Rule”. Turkish Journal of Mathematics and Computer Science 18/2 (June 1, 2026): 552-566. https://doi.org/10.47000/tjmcs.1721161.

JAMA

1.Khodadadi E, Karabacak M, Celık E. Numerical Solution of Fuzzy Differential Equations by two-step Modified Simpson Rule. TJMCS. 2026;18:552–566.

MLA

Khodadadi, Ekhtiar, et al. “Numerical Solution of Fuzzy Differential Equations by Two-Step Modified Simpson Rule”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 2, June 2026, pp. 552-66, doi:10.47000/tjmcs.1721161.

Vancouver

1.Ekhtiar Khodadadi, Mesut Karabacak, Ercan Celık. Numerical Solution of Fuzzy Differential Equations by two-step Modified Simpson Rule. TJMCS. 2026 Jun. 1;18(2):552-66. doi:10.47000/tjmcs.1721161