Computational Methods for Solving Linear Fuzzy Volterra Integral Equation

Table 1

Absolute error between the exact and numerical solutions using the Taylor expansion method and the variational iteration method.

	Exact solution	Taylor numerical solution	Variation numerical solution	Exact solution	Taylor numerical solution	Variation numerical solution	Error = (using Taylor expansion)	Error = (using variational iteration)
0	0	0	0	3.01635285	3.016349432	3.01635200
0.1	0.15081764	0.15081747	0.15081760	2.86553521	2.865531960	2.86553440
0.2	0.30163528	0.30163494	0.30163520	2.71471756	2.714714489	2.71471680
0.3	0.45245292	0.45245241	0.45245280	2.56389992	2.563897017	2.56389920
0.4	0.60327057	0.60326988	0.60327040	2.41308228	2.413079546	2.41308160
0.5	0.75408821	0.75408735	0.75408800	2.26226464	2.262262074	2.26226400
0.6	0.90490585	0.90490482	0.90490560	2.11144699	2.111444602	2.11144640
0.7	1.05572349	1.05572230	1.05572320	1.96062935	1.960627131	1.96062880
0.8	1.20654114	1.20653977	1.20654080	1.80981171	1.809809659	1.80981120
0.9	1.35735878	1.35735724	1.35735840	1.65899406	1.658992188	1.65899360
1.0	1.50817642	1.50817471	1.50817600	1.50817642	1.508174716	1.50817600