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AASCIT Communications | Volume 2, Issue 6 | Sep. 22, 2015 online | Page:262-267
The Differential Transform Method for Solving Volterra’s Population Model
Abstract
In this article, Differential transform method is presented for solving Volterra’s population model for population growth of a species in a closed system. This model is a nonlinear integro-differential where the integral term represents the effect of toxin. This powerful method catches the exact solution. First Volterra’s population model has been converted to power series by one-dimensional differential transformation. Thus we obtained numerical solution Volterra’s population model.
Authors
[1]
Khatereh Tabatabaei, Department of Mathematics, Faculty of Science, Kafkas University, Kars, Turkey.
[2]
Erkan Gunerhan, Department of Computer, Faculty of Engineering, Kafkas University, Kars, Turkey.
Keywords
Volterra’s Population Model, Integro-differential equation, Differential Transform Method
Reference
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Arcticle History
Submitted: Aug. 25, 2015
Accepted: Sep. 6, 2015
Published: Sep. 22, 2015
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