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

Table 1

Numerical results of Example 1 for the approximate solution 𝑢_𝑖(𝑡), 𝑖=1,2,3,4.

𝑡	Exact solution 𝑒^𝑡	𝑢1(𝑡)	𝑢2(𝑡)	𝑢3(𝑡)	𝑢4(𝑡)
0.0	1	1	1	1	1
0.1	1.1051709180756476248	1.1050857910809950277	1.1051709006185340780	1.1051709180747629519	1.1051709180753588641
0.2	1.2214027581601698339	1.2207119694376757768	1.2214021515886701535	1.2214027580088591109	1.2214027581601910911
0.3	1.3498588075760031040	1.3475096053186941304	1.3498539189718694827	1.3498588043837122657	1.3498588075750836373
0.4	1.4918246976412703178	1.4862495904088959004	1.4918032466172082472	1.4918246696710125717	1.4918246976250816793
0.5	1.6487212707001281468	1.6378881889316050424	1.6486542210674227886	1.6487211208887711166	1.6487212705453547801
0.6	1.8221188003905089749	1.8036137007303597314	1.8219504259837133523	1.8221182162906284352	1.8221187994271196311
0.7	2.0137527074704765216	1.9848947740834178825	2.0133904299751254578	2.0137508858816475851	2.0137527030209720537
0.8	2.2255409284924676046	2.1835309157842461447	2.2248469229147350931	2.2255361192359802622	2.2255409120307558656
0.9	2.4596031111569496638	2.4017057619215561218	2.4583899838348527939	2.4595919593157148094	2.4596030598388968997
1.0	2.7182818284590452354	2.6420436949114335208	2.7163148376495047572	2.7182585386203368168	2.7182816889366104589