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Approximations of the nonlinear Volterra's population model by an efficient numerical method

✍ Scribed by Najeeb Alam Khan; Asmat Ara; Muhammad Jamil

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 176 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1479

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✦ Synopsis

Communicated by G. Ding

In this paper, we apply the new homotopy perturbation method to solve the Volterra's model for population growth of a species in a closed system. This technique is extended to give solution for nonlinear integro-differential equation in which the integral term represents the total metabolism accumulated from time zero. The approximate analytical procedure only depends on two components. The new homotopy perturbation method was applied to nonlinear integro-differential equations directly and by converting the problem into nonlinear ordinary differential equation. We also compare this method with some other numerical results and show that the present approach is less computational and is applicable for solving nonlinear integro-differential equations and ordinary differential equations as well.

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