Convergence Analysis of Implicit Euler Method for a Class of Nonlinear Impulsive Fractional Differential Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
For a class of nonlinear impulsive fractional differential equations, we first transform them into equivalent integral equations, and then the implicit Euler method is adapted for solving the problem.
The convergence analysis of the method shows that the method is convergent of the first order.
The numerical results verify the correctness of the theoretical results.
American Psychological Association (APA)
Yu, Yuexin& Zhen, Sheng. 2020. Convergence Analysis of Implicit Euler Method for a Class of Nonlinear Impulsive Fractional Differential Equations. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1201631
Modern Language Association (MLA)
Yu, Yuexin& Zhen, Sheng. Convergence Analysis of Implicit Euler Method for a Class of Nonlinear Impulsive Fractional Differential Equations. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1201631
American Medical Association (AMA)
Yu, Yuexin& Zhen, Sheng. Convergence Analysis of Implicit Euler Method for a Class of Nonlinear Impulsive Fractional Differential Equations. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1201631
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201631