Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Numerical Approximation of the SEIR Epidemic Model Using the Variational Iteration Orthogonal Collocation Method and Mamadu-Njoseh Polynomials

Version 1 : Received: 7 September 2020 / Approved: 9 September 2020 / Online: 9 September 2020 (03:42:20 CEST)

How to cite: Mamadu, E.J.; Njoseh, I.N.; Okposo, N.I.; Ojarikre, H.I.; Igabari, J.N.; Ezimadu, P.E.; Ossaiugbo, M.I.; Jonathan, A.M. Numerical Approximation of the SEIR Epidemic Model Using the Variational Iteration Orthogonal Collocation Method and Mamadu-Njoseh Polynomials. Preprints 2020, 2020090196 (doi: 10.20944/preprints202009.0196.v1). Mamadu, E.J.; Njoseh, I.N.; Okposo, N.I.; Ojarikre, H.I.; Igabari, J.N.; Ezimadu, P.E.; Ossaiugbo, M.I.; Jonathan, A.M. Numerical Approximation of the SEIR Epidemic Model Using the Variational Iteration Orthogonal Collocation Method and Mamadu-Njoseh Polynomials. Preprints 2020, 2020090196 (doi: 10.20944/preprints202009.0196.v1).

Abstract

In this paper, we proposed the numerical method called the variational iteration orthogonal collocation method (VIOCM), for the approximate solution of the deadly Corona virus model using Mamadu-Njoseh polynomials as basis functions. The proposed method is an elegant mixture of the variational iteration method (VIM) and the orthogonal collocation method (OCM). It was observed that the proposed method converges rapidly to the exact solution even as N increases. This suggests that the use of orthogonal polynomials as trial functions for the SEIR model is indeed an effective approximant as it produces the analytic solution at just few iterations. Resulting numerical evidences were compared with the standard variational iteration method as available in literature. All computational frameworks were executed with MAPLE software.

Subject Areas

orthogonal collocation; variational iteration method; mamadu-njoseh polynomials; differential equations; corona virus; SEIR model

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