In this paper, a powerful semianalytical method known as optimal homotopy asymptotic method (OHAM) has been formulated for the solution of system of Volterra integro‐differential equations. The effectiveness and performance of the proposed technique are verified by different numerical problems in the literature, and the obtained results are compared with Sinc‐collocation method. These results show the reliability and effectiveness of the proposed method. The proposed method does not require discretization like other numerical methods. Moreover, the convergence region can easily be controlled. The use of OHAM is simple and straightforward.

中文翻译：

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最优同伦渐近法解Volterra积分微分方程组

在本文中，针对Volterra积分微分方程组的方程式，已经制定了一种强大的半解析方法，称为最佳同伦渐近方法（OHAM）。通过文献中不同的数值问题验证了该技术的有效性和性能，并将所得结果与Sinc-conlocation方法进行了比较。这些结果表明了该方法的可靠性和有效性。所提出的方法不需要像其他数值方法一样离散化。此外，可以容易地控制会聚区域。OHAM的使用简单明了。