Numerical Algorithm for Nonlinear Delayed Differential Systems of $n$th Order
Abstract
The purpose of this paper is to propose a semi-analytical technique convenient for numerical approximation of solutions of the initial value problem for -dimensional delayed and neutral differential systems with constant, proportional and time varying delays. The algorithm is based on combination of the method of steps and the differential transformation. Convergence analysis of the presented method is given as well. Applicability of the presented approach is demonstrated in two examples: A system of pantograph type differential equations and a system of neutral functional differential equations with all three types of delays considered. Accuracy of the results is compared to results obtained by the Laplace decomposition algorithm, the residual power series method and Matlab package DDENSD. Comparison of computing time is done too, showing reliability and efficiency of the proposed technique.
Cite
@article{arxiv.1506.05646,
title = {Numerical Algorithm for Nonlinear Delayed Differential Systems of $n$th Order},
author = {Josef Rebenda and Zdeněk Šmarda},
journal= {arXiv preprint arXiv:1506.05646},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1501.00411 Author's reply: the text overlap may be caused by the fact that this article is concerning systems of equations, while the other paper was about single equations