An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus
This article investigates a family of approximate solutions for the fractional model (in the Liouville-Caputo sense) of the Ebola virus via an accurate numerical procedure (Chebyshev spectral collocation method). We reduce the proposed epidemiological model to a system of algebraic equations with th...
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| Veröffentlicht in: | Chaos, solitons and fractals solitons and fractals, 2020-11, Vol.140, p.110174-110174, Article 110174 |
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| container_title | Chaos, solitons and fractals |
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| creator | Srivastava, H.M. Saad, Khaled M. Khader, M.M. |
| description | This article investigates a family of approximate solutions for the fractional model (in the Liouville-Caputo sense) of the Ebola virus via an accurate numerical procedure (Chebyshev spectral collocation method). We reduce the proposed epidemiological model to a system of algebraic equations with the help of the properties of the Chebyshev polynomials of the third kind. Some theorems about the convergence analysis and the existence-uniqueness solution are stated. Finally, some numerical simulations are presented for different values of the fractional-order and the other parameters involved in the coefficients. We also note that we can apply the proposed method to solve other models. |
| doi_str_mv | 10.1016/j.chaos.2020.110174 |
| format | Article |
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We reduce the proposed epidemiological model to a system of algebraic equations with the help of the properties of the Chebyshev polynomials of the third kind. Some theorems about the convergence analysis and the existence-uniqueness solution are stated. Finally, some numerical simulations are presented for different values of the fractional-order and the other parameters involved in the coefficients. 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| ispartof | Chaos, solitons and fractals, 2020-11, Vol.140, p.110174-110174, Article 110174 |
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| source | Elsevier ScienceDirect Journals |
| subjects | Chebyshev polynomials of the third-kind Chebyshev spectral collocation method Corona virus Ebola virus Epidemiological model Fractional derivatives Newton-Raphson method |
| title | An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus |
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