In this paper, authors present a new method “Sawi decomposition method” for determining the primitive of Volterra integral equation (V.I.E.) with application. Sawi decomposition method is the combination of Sawi transformation and decomposition method. Some numerical problems have been considered and solved sequentially for explaining the complete methodology. For the practical application of the Sawi decomposition method, an advance problem of medical science for determining the blood glucose concentration during an intravenous injection has been considered and solved sequentially applying this method. Results of numerical problems depict that the Sawi decomposition method is a very effective decomposition method for determining the primitives of V.I.E.

中文翻译：

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Volterra积分方程的Sawi分解法及其应用。

在本文中，作者提出了一种用于确定Volterra积分方程（VIE）原语的新方法“萨维分解法”。Sawi分解方法是Sawi变换和分解方法的组合。为了解释完整的方法，已经考虑并顺序解决了一些数值问题。对于Sawi分解法的实际应用，已经考虑了医学上用于确定静脉内注射期间的血糖浓度的先进问题，并相继解决了该方法的问题。数值问题的结果表明，Sawi分解方法是确定VIE原语的一种非常有效的分解方法。