Quantum mechanics

Chebyshev filter

Applied mathematics

Convergence (economics)

Economics

Computer science

Spectral method

Algebraic equation

Physics

Nonlinear system

Collocation (remote sensing)

Mathematics

Chebyshev polynomials

Mathematical analysis

Uniqueness

Economic growth

Fractional calculus

Machine learning

Chaos Solitons & Fractals

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.

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus