A Hermite polynomial approach for solving the SIR model of epidemics

DOI10.3390/math6120305zbMath1427.65135OpenAlexW2902242925MaRDI QIDQ2337266

Mustafa Bayram, Neslihan Ozdemir, Aydin Secer

Publication date: 19 November 2019

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6120305

zbMATH Keywords

approximate solutionSIR modelcollocation pointsHermite collocation methodHermite polynomials and series

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items

Applications of orthogonal polynomials to solving the Schrödinger equation ⋮ On an SE(Is)(Ih)AR epidemic model with combined vaccination and antiviral controls for COVID-19 pandemic ⋮ Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy ⋮ First order coupled systems with functional and periodic boundary conditions: existence results and application to an SIRS model ⋮ Rumour propagation: an operational research approach by computational and information theory

Uses Software

• Maple
• A-EBDF

Cites Work

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• Applying the stochastic Galerkin method to epidemic models with uncertainty in the parameters
• A-EBDF: An adaptive method for numerical solution of stiff systems of ODEs
• Solutions of the SIR models of epidemics using HAM
• Solution of the epidemic model by homotopy perturbation method
• Comparing numerical methods for the solutions of systems of ordinary differential equations.
• Solution of the epidemic model by Adomian decomposition method
• On the solution of the Riccati equation by the Taylor matrix method
• A Hermite collocation method for the approximate solutions of high-order linear Fredholm integro-differential equations