The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions

Table 7

Values for 𝑢(𝑡) for the fifteenth iteration by Variational Iteration Method (VIM) and Modified Variational Iteration Method (MVIM) compared with exact values of 𝑢(𝑡).

𝑡	VIM 𝑢15	MVIM 𝑢15	Exact 𝑢
0	1.0000000000000009	0.9999999999999991	1
0.0001	1.2850877658914557	1.2850877658914535	1.2850877658914546
0.0002	1.5430078207607218	1.54300782076072	1.5430078207607214
0.0003	1.7763455179368497	1.7763455179368466	1.7763455179368477
0.0004	1.9874401818504213	1.9874401818504188	1.98744018185042
0.0005	2.178408520778776	2.178408520778775	2.1784085207787767
0.0006	2.3511658115739342	2.351165811573942	2.3511658115739427
0.0007	2.5074450683970526	2.5074450683971445	2.5074450683971445
0.0008	2.648814387306315	2.648814387307067	2.64881438730707
0.0009	2.776692640287484	2.7766926402923118	2.776692640292312
0.001	2.8923636757938955	2.8923636758191704	2.892363675819173