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Numerical Simulation and Stability Analysis for the Fractional-Order Dynamics of COVID-19

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TLDR
In this article, an efficient computational method based on discretization of the domain and memory principle is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed.
Abstract
The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost.

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Citations
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An Emotion Care Model using Multimodal Textual Analysis on COVID-19.

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A numerical study of fractional order population dynamics model

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Modeling third waves of Covid-19 spread with piecewise differential and integral operators: Turkey, Spain and Czechia

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A mathematical model and numerical solution for brain tumor derived using fractional operator

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References
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Journal ArticleDOI

Active control technique of fractional-order chaotic complex systems

TL;DR: The definition of modified projective combination-combination synchronization (MPCCS) of some fractional-order chaotic complex systems is introduced and it is shown that these systems are chaotic by calculating their Lyapunov exponents.
Journal ArticleDOI

Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix

TL;DR: In this article, the authors used the operational matrix approach to construct approximate solutions using Legendre scaling functions as basis for non-homogeneous fractional order partial differential equations and gave the error analysis of the proposed method.
Journal ArticleDOI

Numerical Simulation of the Fractal-Fractional Ebola Virus

TL;DR: In this paper, the authors investigated the numerical solutions of the fractal-fractional Ebola virus in the sense of three different kernels based on the power law, the exponential decay and the generalized Mittag-Leffler function.
Journal ArticleDOI

A reliable numerical algorithm for fractional advection–dispersion equation arising in contaminant transport through porous media

TL;DR: In this article, a reliable numerical approach for the fractional advection-dispersion equation by making use of Legendre scaling functions as a basis is presented, which describes the anomalous transport in surface and subsurface water.
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