Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method

Table 7

Eight-term approximate solution by SIM and comparison with the exact solution of Example 5 for different values of time variable and the absolute error .

	Exact	SIM ()	Error of SIM
0.01	0.99995000041666527778025793375221	0.99995000041666597222322978474719
0.02	0.99980000666657777841269559083748	0.99980000666662222196428370810586
0.03	0.99955003374898751627215870646661	0.99955003374949374338925373269758
0.04	0.99920010666097794031457075812913	0.9992001066638221561884218407565
0.05	0.99875026039496624656287081115652	0.9987502604058155784510124137974
0.06	0.99820053993520416554766168718284	0.9982005399675983075601052007242
0.07	0.99755100025327957462090838993974	0.99755100033496016326004058023897
0.08	0.99680170630261938497770677463351	0.99680170648460531599149571403043
0.09	0.99595273301199425309283937182514	0.99595273338090037082113388945936
0.10	0.99500416527802576609556198780387	0.99500416597212144618056523802984