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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
Joint Authors
Chu, Yu-Ming
Qiang, Xiaoli
Kamran, Xiaoli
Mahboob, Abid
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Laplace transform is a powerful tool for solving differential and integrodifferential equations in engineering sciences.
The use of Laplace transform for the solution of differential or integrodifferential equations sometimes leads to the solutions in the Laplace domain that cannot be inverted to the real domain by analytic methods.
Therefore, we need numerical methods to invert the solution to the real domain.
In this work, we construct numerical schemes based on Laplace transform for the solution of fractional-order Volterra integrodifferential equations in the sense of the Atangana-Baleanu Caputo derivative.
We propose two numerical methods for approximating the solution of fractional-order linear and nonlinear Volterra integrodifferential equations.
In our scheme, the inverse Laplace transform is approximated using a contour integration method and Stehfest method.
Some numerical experiments are performed to check the accuracy and efficiency of the methods.
The results obtained using these methods are compared.
American Psychological Association (APA)
Qiang, Xiaoli& Kamran, Xiaoli& Mahboob, Abid& Chu, Yu-Ming. 2020. Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1185999
Modern Language Association (MLA)
Qiang, Xiaoli…[et al.]. Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation. Journal of Function Spaces No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1185999
American Medical Association (AMA)
Qiang, Xiaoli& Kamran, Xiaoli& Mahboob, Abid& Chu, Yu-Ming. Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1185999
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185999