TY  - JOUR
T1  - NLVIEEIM Algorithm: A Solution of Nonlinear Volterra
Integral Equations using Explicit-Implicit Method
AU - Bagelany, Ronak 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 22
SP  - 8344
EP  - 8347
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.8344.8347
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.8344.8347
KW  - accuracy
KW  -Gear Explicit method
KW  -Nonlinear integral equation
KW  -Volterra second kind
KW  -algorithm
KW  -backward differentiation formula first-order implicit method
AB  - 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.
ER  -