NUMERICAL SOLUTION FOR IMMUNOLOGY TUBERCULOSIS MODEL USING RUNGE KUTTA FEHLBERG AND ADAMS BASHFORTH MOULTON METHOD
DOI:
https://doi.org/10.11113/jt.v78.8339Keywords:
Runge Kutta Fehlberg, Adams Bashforth Moulton, Immunology of Tuberculosis ModelsAbstract
The Immunology tuberculosis model that has been formulated by (Ibarguen, E., Esteva, L., & Chavez, L, 2011) in the form of a system of nonlinear differential equations first order. In this study, we used to Runge Kutta Fehlberg method and Adams Bashforth Moulton method. This study has been obtained numerical solution of the model. The results showed that the relative error obtained from the Adams Bashforth Moulton method is smaller when compared with the Runge Kutta Fehlber method. There are two methods has a high accuracy in solving systems of nonlinear differential equations.
References
Bronson, R. dan Costa, G. B. 2007. Scaum's Outlines: Differential Equations. Jakarta: Erlangga.
Capra, S. & Canale, R. 2010. Numerical Methods for Engineers. New York: The McGraw-Hill Companies.
Ibarguen, E., Esteva, L., & Chavez, L. 2011. A Mathematical Model for Celluler Immunology of Tuerculosis. Mathematical Biosciences and Engineering. 4: 973-986.
Mathews & Kurtis. 2004. Numerical Methods Using Matlab. Fourth Editions. New Jersey: The Prentice hall, Inc.
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