지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국지능시스템학회 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol.24 No.4
- 발행연도
- 2024.12
- 수록면
- 407 - 415 (9page)
- DOI
- 10.5391/IJFIS.2024.24.4.407
이용수
초록· 키워드
오류제보하기
Fuzzy fractional partial differential equations have become a powerful approach for handling uncertainty or imprecision in real-world modeling problems. In this study, two finite difference schemes, the Crank-Nicolson and centered-time centered-space methods, were developed and used to obtain a numerical solution for double-parametric fuzzy time fractional wave equations. Fuzzy set theory principles were employed to perform fuzzy analysis and formulate the proposed numerical schemes. The Caputo formula was used to define the time-fractional derivative. To illustrate the practicality of the numerical method, a specific numerical instance was analyzed. The results are presented in tables and figures, revealing the efficacy of the schemes in terms of accuracy and ability to reduce computational expenses. A novel fuzzy computational approach known as the double-parametric form enabled these achievements.
목차
Abstract
1. Introduction
2. Wave Equation with Time Fractional Derivative in Fuzzy Form
3. Centered-Time Centered-Space in Double Parametric Form
4. Crank-Nicholson in Double Parametric Fuzzy Form
5. Numerical Example
6. Conclusion
References
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