Application of Effective Semi-Analytical Algorithms for Neutral and Retarded Volterra Integrodifferential Equations

Authors

Mohamed S. M. Bahgat, Mathematics Department, Faculty of Science, Minia University, Minia, EgyptFollow
Mofida Zaki, Mathematics Department, Faculty of Science, Minia University, Minia, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

This study developed three semi-analytical algorithms to solve functional integrodifferential equations with variable delays under initial conditions. These algorithms embrace the Laplace Adomian decomposition method (LADM), the modified Laplace Adomian decomposition method (MLADM), and the Laplace variational iteration method (LVIM). Using the suggested approaches, we find the solutions without discretization, transformation, or limiting traditions while considering suitable initial conditions. In addition, the solutions are generated in fast-converging series with easily calculable terms. The proposed methodologies are tested numerically on three numerical applications to prove their efficacy and dependability as well as to compare their computational efficiency. Based on the numerical results, it is evident that the procedures offered are both effective and correct

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170312

Recommended Citation

S. M. Bahgat, Mohamed and Zaki, Mofida (2023) "Application of Effective Semi-Analytical Algorithms for Neutral and Retarded Volterra Integrodifferential Equations," Applied Mathematics & Information Sciences: Vol. 17: Iss. 3, Article 12.
DOI: http://dx.doi.org/10.18576/amis/170312
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss3/12