Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Comparison of exact and approximate solution of Example 1 using the boundary condition as defined in \(\pmb{\mathbf{S_{1}}}\)

From: Approximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditions

t	N
	Exact U ( t )	N = 5	N = 7	N = 9	N = 11
t = 0.4	0.95105651629	0.9677391807	0.9499276887	0.9510565133	0.95105651554
t = 0.8	0.58778525229	0.5806739865	0.5877691649	0.5877785192	0.5877882463
t = 1.2	−0.58778525229	−0.5879798137	−0.5877896195	−0.5877852801	−0.58778528235
t = 1.6	−0.95105651629	−0.9318025727	−0.9510687377	−0.9510565637	−0.9510565256
t = 2.0	−0.00000000000	−0.0160927142	−0.0000151536	−0.0000001456	−0.00000000975
t = 2.4	0.95105651629	0.9684572120	0.9510519403	0.9510565108	0.95105651183
t = 2.8	0.58778525229	0.5667990904	0.5879771600	0.5877852533	0.5877852523
t = 3	0.00000000000	0.0634719308	−0.0001774663	0.0000000045	0.00000000125

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