A Novel Approach for Solving Fuzzy Differential Equations Using Cubic Spline Method

Table 1

Comparison of the results (approximated to 9 decimals) obtained by exact, cubic spline method and Taylor’s method of order, at with h = 0.1 for equation (42).

-cut	Exact solution Yl	Cubic spline Pl	Taylor solution Tl for
0.0	0.409365377	0.409364268	0.409512500
0.1	0.450301914	0.450300695	0.450463750
0.2	0.491238452	0.491237122	0.491415000
0.3	0.532174990	0.532173549	0.532366250
0.4	0.573111527	0.573109976	0.573317500
0.5	0.614048065	0.614046403	0.614268750
0.6	0.654984602	0.654982830	0.655220000
0.7	0.695921140	0.695919256	0.696171250
0.8	0.736857678	0.736855683	0.737122500
0.9	0.777794215	0.777792110	0.778073750
1.0	0.818730753	0.818728537	0.819025000