TY - JOUR AU - Rebenda, Josef AU - Pátíková，Zuzana PY - 2020 DA - 2020/02/28 TI -微分变换算法泛函微分方程时间延迟SP - 2854574六世- 2020 AB -一个使用方便的微分变换算法寻找为泛函微分方程初值问题的数值解,提出了paper. We focus on retarded equations with delays which in general are functions of the independent variable. The delayed differential equation is turned into an ordinary differential equation using the method of steps. The ordinary differential equation is transformed into a recurrence relation in one variable using the differential transformation. Approximate solution has the form of a Taylor polynomial whose coefficients are determined by solving the recurrence relation. Practical implementation of the presented algorithm is demonstrated in an example of the initial value problem for a differential equation with nonlinear nonconstant delay. A two-dimensional neutral system of higher complexity with constant, nonconstant, and proportional delays has been chosen to show numerical performance of the algorithm. Results are compared against Matlab function DDENSD. SN - 1076-2787 UR - https://doi.org/10.1155/2020/2854574 DO - 10.1155/2020/2854574 JF - Complexity PB - Hindawi KW - ER -