Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem

We try to compare the solutions by some numerical techniques when we apply the methods on some mathematical biology problems. The Runge-Kutta-Fehlberg (RKF) method is a promising method to give an approximate solution of nonlinear ordinary differential equation systems, such as a model for insect po...

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Published inInternational Journal of Differential Equations Vol. 2016; no. 2016; pp. 326 - 339
Main Authors Chaudhuri, Kripasindhu, Bhattacharya, Paritosh, Mondal, Sankar Prasad, Paul, Susmita
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2016
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Analysis
Approximation methods
Biology
Biomathematics
Comparative analysis
Cybernetics
Differential equations
Exact solutions
Insects
Mathematical analysis
Mathematical models
Methods
Numerical analysis
Runge-Kutta method
Studies
United States
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Summary:We try to compare the solutions by some numerical techniques when we apply the methods on some mathematical biology problems. The Runge-Kutta-Fehlberg (RKF) method is a promising method to give an approximate solution of nonlinear ordinary differential equation systems, such as a model for insect population, one-species Lotka-Volterra model. The technique is described and illustrated by numerical examples. We modify the population models by taking the Holling type III functional response and intraspecific competition term and hence we solve it by this numerical technique and show that RKF method gives good results. We try to compare this method with the Laplace Adomian Decomposition Method (LADM) and with the exact solutions.
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ISSN:1687-9643
1687-9651
DOI:10.1155/2016/8921710