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Can I read Solving Linear Fractional Differential Equations with Time Delay by Steps Chebyshev-Tau Scheme on EtoBox?
Solving Linear Fractional Differential Equations with Time Delay by Steps Chebyshev-Tau Scheme by M. Mousa-Abadian; S. H. Momeni-Masuleh is a Mathematics article available to read on EtoBox.
What is Solving Linear Fractional Differential Equations with Time Delay by Steps Chebyshev-Tau Scheme about?
In this article, we obtain a new formula for obtaining an exact expression for the fractional derivatives of the shifted Chebyshev polynomials in the desired interval 1⁄2a; b based on shifted Chebyshev polynomials themselves. We propose a novel scheme to solve linear fractional differential equations with the order m and a single time delay. The proposed scheme consists of two stages. The first stage converts the linear fractional differential equations with a time delay to linear fractional differential equations using the method of steps. It employs the shifted Chebyshev polynomials to construct an approximate solution for the system of equations on the second stage. The proposed scheme's convergence analysis has been performed, suggesting that the proposed scheme has a spectral rate of convergence for sufficiently smooth solutions. Also, the stability analysis is provided. Numerical benchmark problems are examined to show the proficiency and accuracy of the proposed scheme.
Who reads Solving Linear Fractional Differential Equations with Time Delay by Steps Chebyshev-Tau Scheme?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- M. Mousa-Abadian; S. H. Momeni-Masuleh
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)