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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The approximate and exact solution of \(\pmb{v(x,t)}\) and \(\pmb{w(x,t)}\) for Example 5.1 for different values of α and β

x	t	α = β = 0.75	α = β = 0.9	α = β = 1
x	t	α = β = 0.75	α = β = 0.9	Numerical	Exact
−10	0.2	0.403596	0.429046	0.446097	0.445407
−10	0.4	0.349827	0.358413	0.369934	0.364668
−5	0.2	0.711403	0.756262	0.786318	0.785101
−5	0.4	0.616625	0.63176	0.652069	0.642786
5	0.2	−0.711403	−0.756262	−0.786318	−0.785101
5	0.4	−0.616625	−0.63176	−0.652069	−0.642786
10	0.2	−0.403596	−0.429046	−0.446097	−0.445407
10	0.4	−0.349827	−0.358413	−0.369934	−0.364668