Journal of Engineering and Applied Sciences

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NLVIEEIM Algorithm: A Solution of Nonlinear Volterra Integral Equations using Explicit-Implicit Method

Ronak Bagelany
Page: 8344-8347 | Received 21 Sep 2022, Published online: 21 Sep 2022

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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.

How to cite this article:

Ronak Bagelany. NLVIEEIM Algorithm: A Solution of Nonlinear Volterra Integral Equations using Explicit-Implicit Method.
DOI: https://doi.org/10.36478/jeasci.2019.8344.8347
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.8344.8347