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Authors: Doğan, N.
Akın, O.
Keywords: Series solution
Epidemic model
Laplace-Adomian decomposition method
approximate solution
system of nonlinear differential equations
Issue Date: 2012
Publisher: Turkic World Mathematical Soc
Abstract: The present paper is concerned with the approximate analytic series solution of the epidemic model. In place of the traditional numerical, perturbation or asymtotic methods, Laplace-Adomian decomposition method (LADM) is employed. To demonstrate the effort of the LADM an epidemic model, which has been worked on recently, has been solved. The results are compared with the results obtained by Adomian decomposition method and homotopy perturbation method. Furthermore the results are compared with Fouth Order Runge Method and residual error. After examining the results, we see that LADM is a powerful method for obtaining aproximate solutions to epidemic model.
ISSN: 2146-1147
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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