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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.3
- 발행연도
- 2024.9
- 수록면
- 271 - 279 (9page)
- DOI
- 10.5391/IJFIS.2024.24.3.271
이용수
초록· 키워드
오류제보하기
In various scientific disciplines, including mathematics, physics, chemistry, biology, and engineering, numerous challenges are modeled using linear and nonlinear integro-differential equations. Researchers have developed analytical methods to address these issues and to find effective solutions. This study explored the effectiveness of an Adomian decomposition method based on modified Bernstein polynomials to solve nonlinear first-order integro-differential equations. This hybrid method does not require any diminution presumptions or linearization to solve these types of equations, and the arrangement methodology is extremely straightforward with little emphasis on prompting a highly exact solution. This produced an extremely effective strategy among the alternative strategies. The performance of the proposed method was confirmed by comparing the exact and approximate solutions using examples. A comparison of the results shown in numerical tables demonstrates the practical applicability of this method. The computations were performed using the Maple software.
목차
Abstract
1. Introduction
2. Preliminaries
3. Description of the Method
4. Convergence of the Method
5. Examples
6. Conclusions
References
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