Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays

Table 3

Example 2, comparison of presented DT, DT in [18] and Matlab function DDENSD for and in the first step for , and presented DT and DDENSD in the second step for .

Method	DT 10	DT 10	Matlab DDENSD	Matlab DDENSD	DT [18]	DT [18]
t
0.00	1.0000	0.0000	1.0000	0.0000	1.0000	0.0000
0.05	1.0513	0.0024	1.0513	0.0024	1.0513	0.0024
0.10	1.1054	0.0093	1.1050	0.0093	1.1051	0.0093
0.15	1.1625	0.0203	1.1614	0.0203	1.1618	0.0203
0.20	1.2230	0.0348	1.2204	0.0348	1.2209	0.0348
0.25	1.2871	0.0524	1.2822	0.0524	1.2832	0.0524
0.30	1.3552	0.0726	1.3469	0.0726	1.3481	0.0726
0.35	1.4277	0.0951	1.4146	0.0951	1.4160	0.0951
0.3520	1.4306	0.0960	1.4174	0.0960	—	—
0.3904	1.4896	0.1146	1.4717	0.1146	—	—
0.4289	1.5514	0.1340	1.5280	0.1340	—	—
0.4673	1.6161	0.1541	1.5864	0.1541	—	—
0.5057	1.6839	0.1747	1.6469	0.1748	—	—
0.5441	1.7548	0.1957	1.7098	0.1957	—	—
0.5826	1.8290	0.2169	1.7750	0.2169	—	—
0.6210	1.9065	0.2380	1.8428	0.2381	—	—