Ronak Bagelany, NLVIEEIM Algorithm: A Solution of Nonlinear Volterra Integral Equations using Explicit-Implicit Method, Journal of Engineering and Applied Sciences, Volume 14,Issue 22, 2019, Pages 8344-8347, ISSN 1816-949x, jeasci.2019.8344.8347, (https://makhillpublications.co/view-article.php?doi=jeasci.2019.8344.8347) Abstract: Solving system of nonlinear Volterra integral equations has attracted enormous attention due to its importance in different sciences. Therefore, this study proposes a new efficient algorithm called NLVIEEIM. Specifically, the Gear Explicit method is developed to solve Systems of Nonlinear Volterra Integral Equations of the second kind (SNLVIE-2). Additionally, we used backward differentiation formula first-order implicit method to improve this solution. The algorithm is examined by numerical examples and the calculations are carried out using MATLAB 2014b Software. The outcomes show a better accuracy in solving SNLVIE-2. Keywords: accuracy;Gear Explicit method;Nonlinear integral equation;Volterra second kind;algorithm;backward differentiation formula first-order implicit method