Next Article in Journal
Hybrid Second Order Method for Orthogonal Projection onto Parametric Curve in n-Dimensional Euclidean Space
Next Article in Special Issue
Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain
Previous Article in Journal
Edge Irregular Reflexive Labeling for Disjoint Union of Generalized Petersen Graph
Previous Article in Special Issue
On a Length Problem for Univalent Functions
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 6
Issue 12
10.3390/math6120305
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

A Hermite Polynomial Approach for Solving the SIR Model of Epidemics

by
Aydin Secer
1,*,
Neslihan Ozdemir
1 and
Mustafa Bayram
2
1
Department of Mathematical Engineering, Yildiz Technical University, Istanbul 34200, Turkey
2
Department of Computer Engineering, Gelisim University, Istanbul 34315, Turkey
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(12), 305; https://doi.org/10.3390/math6120305
Submission received: 2 October 2018 / Revised: 27 November 2018 / Accepted: 27 November 2018 / Published: 5 December 2018
(This article belongs to the Special Issue Fractional-Order Integral and Derivative Operators and Their Applications)
Browse Figures
Versions Notes

Abstract

In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ODEs. The presented scheme reduces the problem to a nonlinear algebraic equation system by expanding the approximate solutions by using Hermite polynomials with unknown coefficients. These coefficients of the Hermite polynomials are computed by using the matrix operations of derivatives together with the collocation method. Maple software is used to carry out the computations. In addition, comparison of our method with the Homotopy perturbation method (HPM) and Laplece-Adomian decomposition method (LADM) proves accuracy of solution.
Keywords: SIR model; Hermite collocation method; approximate solution; Hermite polynomials and series; collocation points SIR model; Hermite collocation method; approximate solution; Hermite polynomials and series; collocation points

Share and Cite

MDPI and ACS Style

Secer, A.; Ozdemir, N.; Bayram, M. A Hermite Polynomial Approach for Solving the SIR Model of Epidemics. Mathematics 2018, 6, 305. https://doi.org/10.3390/math6120305

AMA Style

Secer A, Ozdemir N, Bayram M. A Hermite Polynomial Approach for Solving the SIR Model of Epidemics. Mathematics. 2018; 6(12):305. https://doi.org/10.3390/math6120305

Chicago/Turabian Style

Secer, Aydin, Neslihan Ozdemir, and Mustafa Bayram. 2018. "A Hermite Polynomial Approach for Solving the SIR Model of Epidemics" Mathematics 6, no. 12: 305. https://doi.org/10.3390/math6120305

APA Style

Secer, A., Ozdemir, N., & Bayram, M. (2018). A Hermite Polynomial Approach for Solving the SIR Model of Epidemics. Mathematics, 6(12), 305. https://doi.org/10.3390/math6120305

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop