Variational Iteration Method for Volterra Functional Integrodifferential Equations with Vanishing Linear Delays

Table 2

Comparison of the absolute errors for Example 1.

𝑡	𝑢(𝑡)=𝑒^𝑡	|𝑢(𝑡)−𝑢1(𝑡)|	|𝑢(𝑡)−𝑢2(𝑡)|	|𝑢(𝑡)−𝑢3(𝑡)|	|𝑢(𝑡)−𝑢4(𝑡)|
0.0	1	0	0	0	0
0.1	1.10517091807565	8.51269946525971𝑒−5	1.7457113546810226𝑒−8	8.84672945669598𝑒−13	2.887607321029178028𝑒−13
0.2	1.22140275816017	6.907887224940571𝑒−4	6.0657149968050524𝑒−7	1.5131072313594238𝑒−10	2.125705660723818𝑒−14
0.3	1.34985880757600	2.3492022573089736𝑒−3	4.8886041336212232𝑒−6	3.1922908382256591𝑒−9	9.194666036766947𝑒−13
0.4	1.49182469764127	5.5751072323744174𝑒−3	2.14510240620706504𝑒−5	2.7970257746148669𝑒−8	1.6188638512514924𝑒−11
0.5	1.64872127070013	1.08330817685231044𝑒−2	6.7049632705358174𝑒−5	1.49811357030130950𝑒−7	1.5477336660027635𝑒−10
0.6	1.82211880039051	1.85050996601492435𝑒−2	1.68374406795622657𝑒−4	5.8409988053979630𝑒−7	9.6338934386879802𝑒−10
0.7	2.01375270747048	2.88579333870586391𝑒−2	3.62277495351063778𝑒−4	1.82158882893647104𝑒−6	4.4495044678475161𝑒−9
0.8	2.22554092849247	4.20100127082214599𝑒−2	6.94005577732511601𝑒−4	4.80925648734251589𝑒−6	1.64617117390721096𝑒−8
0.9	2.45960311115695	5.78973492353935420𝑒−2	1.213127322096869873𝑒−3	1.11518412348543253𝑒−5	5.1318052763985064𝑒−8
1.0	2.71828182845905	7.62381335476117146𝑒−2	1.966990809540478171𝑒−3	2.32898387084185628𝑒−5	1.39522434776416469𝑒−7