The Rational Spectral Method Combined with the Laplace Transform for Solving the Robin Time-Fractional Equation
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations.
First, a time-fractional partial differential equation is transformed into an ordinary differential equation with frequency domain components by the Laplace transform.
Then, the spatial derivatives are discretized by the rational spectral method, the linear equation with the parameter s is solved, and the approximation Ux,s is obtained.
The approximate solution at any given time, which is the numerical inverse Laplace transform, is obtained by the modified Talbot algorithm.
Numerical experiments are carried out to demonstrate the high accuracy and efficiency of our method.
American Psychological Association (APA)
Yang, Lufeng. 2020. The Rational Spectral Method Combined with the Laplace Transform for Solving the Robin Time-Fractional Equation. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1127598
Modern Language Association (MLA)
Yang, Lufeng. The Rational Spectral Method Combined with the Laplace Transform for Solving the Robin Time-Fractional Equation. Advances in Mathematical Physics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1127598
American Medical Association (AMA)
Yang, Lufeng. The Rational Spectral Method Combined with the Laplace Transform for Solving the Robin Time-Fractional Equation. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1127598
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127598