Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 The approximate and exact solutions of \(\pmb{w(x, t)}\) for Example 5.2 for different values of γ and \(\pmb{y=0.4}\)

From: New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM

x	t	γ = 0.75	γ = 0.9	γ = 1
x	t	γ = 0.75	γ = 0.9	Numerical	Exact
0.5	0.3	1.44348	1.29428	1.22138	1.2214
	0.6	2.0374	1.77948	1.64807	1.64872
	0.9	2.78569	2.41653	2.22032	2.22554
1	0.3	0.875516	0.785023	0.740807	0.740818
	0.6	1.23574	1.07931	0.999606	1
	0.9	1.6896	1.4657	1.34669	1.34986
1.5	0.3	0.531027	0.47614	0.449322	0.449329
	0.6	0.749516	0.654634	0.606291	0.606531
	0.9	1.0248	0.888992	0.816812	0.818731

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