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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

An exploration of the nth order fuzzy differential equations through numerical analysis, employing He’s variational iteration method

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pp. 1193–1198Vol. 27Issue 5August 2024DOI: 10.47974/JIM-1952XML
Received:
13 Mar 2024
Published Online:
30 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1952
Pages:
1193–1198

Abstract

Using a broader concept of higher-order fuzzy differentiability, the HVI Method (HVIM) was developed to solve nth order FDE(FDE) (Sekar and Sakthivel, [13]; Sekar and Prabhavathi, [14]). A different approach detailed in the works of Sekar and Prabhavathi [14] and Sekar and Sakthivel [13] was contrasted with the discrete solutions that were derived. Reduced computational cost means less time spent using the new method. It is presumed that the fuzzy function and its derivative possess Hukuhara differentiability. The effectiveness of this method was illustrated by the numerical example.

Keywords

Subject Classifications

(2010) 65L8065L05

References

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