Convergence Analysis of Implicit Euler Method for a Class of Nonlinear Impulsive Fractional Differential Equations

Joint Authors

Yu, Yuexin
Zhen, Sheng

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

Civil Engineering

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