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 8

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

𝑡	VIM 𝑣15	MVIM 𝑣15	Exact 𝑣
0	0.9999999999999998	1.0000000000000004	1
0.0001	0.7147122441082119	0.7147122441082117	0.7147122441082121
0.0002	0.4565922192366122	0.4565922192366125	0.4565922192366121
0.0003	0.2230545720541527	0.22305457205415302	0.22305457205415302
0.0004	0.011759978128248435	0.011759978128248725	0.011759978128248916
0.0005	−0.1794082708204386	−0.17940827082043712	−0.1794082708204383
0.0006	−0.35236545164593536	−0.35236545164593086	−0.3523654516459318
0.0007	−0.5088445785114996	−0.508844578511458	−0.5088445785114579
0.0008	−0.6504137474780325	−0.6504137474777034	−0.6504137474777028
0.0009	−0.7784918305373185	−0.7784918305352573	−0.7784918305352575
0.001	−0.894362676163021	−0.8943626761524226	−0.894362676152423