Numerical solution of functional integral equations by the variational iteration method

Numerical solution of functional integral equations by the variational iteration method
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DOI:
10.1016/j.cam.2010.11.010
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发表时间:
2011-02-15
影响因子:
2.4
通讯作者:
Porshokouhi, Mohammad Gholami
Porshokouhi, Mohammad Gholami
中科院分区:
数学2区
文献类型:
--
作者:
Biazar, Jafar;Porshokouhi, Mehdi Gholami;Porshokouhi, Mohammad Gholami

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本文应用变分迭代法求泛函积分方程的数值解。这种方法不需要依赖于线性化、弱非线性假设或扰动理论。通过对几个算例的近似求解,验证了该方法的有效性。结果表明,该方法对求解此类方程是十分有效和方便的。(C)2010 Elsevier B.V.保留所有权利。
In the present article, we apply the variational iteration method to obtain the numerical solution of the functional integral equations. This method does not need to be dependent on linearization, weak nonlinearity assumptions or perturbation theory. Application of this method in finding the approximate solution of some examples confirms its validity. The results seem to show that the method is very effective and convenient for solving such equations. (C) 2010 Elsevier B.V. All rights reserved.