@article{MAKHILLJEAS2019142218629, title = {NLVIEEIM Algorithm: A Solution of Nonlinear Volterra Integral Equations using Explicit-Implicit Method}, journal = {Journal of Engineering and Applied Sciences}, volume = {14}, number = {22}, pages = {8344-8347}, year = {2019}, issn = {1816-949x}, doi = {jeasci.2019.8344.8347}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.8344.8347}, author = {Ronak}, keywords = {accuracy,Gear Explicit method,Nonlinear integral equation,Volterra second kind,algorithm,backward differentiation formula first-order implicit method}, 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.} }