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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
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.
Khatereh Tabatabaei, Department of Mathematics, Faculty of Science, Kafkas University, Kars, Turkey.
Erkan Gunerhan, Department of Computer, Faculty of Engineering, Kafkas University, Kars, Turkey.
Volterra’s Population Model, Integro-differential equation, Differential Transform Method
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Arcticle History
Submitted: Aug. 25, 2015
Accepted: Sep. 6, 2015
Published: Sep. 22, 2015
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