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Najeeb Alam Khan Asmat Ara Muhammad Jamil 《Mathematical Methods in the Applied Sciences》2011,34(14):1733-1738
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 fromtime zero. The approximate analytical procedure only depends on two components. The newhomotopy perturbationmethodwas 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. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
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Hossein Aminikhah Jafar Biazar 《Numerical Methods for Partial Differential Equations》2010,26(5):1115-1124
In this article, a new homotopy perturbation method (NHPM) is introduced to obtain exact solutions of system of ODEs. Theoretical considerations are discussed. Comparison of the results of applying NHPM with those of homotopy perturbation method (HPM) and Adomia's decomposition method (ADM) leads to significant consequences. Three examples, including stiff system of linear and nonlinear ODEs are given to demonstrate the efficiency of the new method. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010 相似文献
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