The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations

Table 2

Variation of the SHAM approximate solutions of 𝑓^′′(𝜉,0), −𝜃^′(𝜉,0), and −𝜙^′(𝜉,0) for different flow parameters. 𝑀=𝐾=30, ℏ = −1, 𝐿=30, 𝑁=100, Pr=0.7, Le=3, and Sc=1.

𝜆	𝛼	Nr	𝜎	𝑓^′′(𝜉,0)	−𝜃^′(𝜉,0)	−𝜙^′(𝜉,0)
0.1	1	0.5	1	−0.721619	0.488512	1.063098
0.5	1	0.5	1	−0.452295	0.494804	1.074110
1.0	1	0.5	1	−0.123169	0.502489	1.087615
0.5	0.1	0.5	1	−0.549445	0.492700	1.070271
0.5	0.5	0.5	1	−0.506182	0.493637	1.071980
0.5	1.0	0.5	1	−0.452295	0.494804	1.074110
0.5	1	0.1	1	−0.516058	0.493757	1.071997
0.5	1	0.5	1	−0.452295	0.494804	1.074110
0.5	1	1.0	1	−0.372924	0.496105	1.076742
0.5	1	0.5	0.1	−0.481198	0.494428	1.073293
0.5	1	0.5	0.5	−0.468347	0.494595	1.073656
0.5	1	0.5	1.0	−0.452295	0.494804	1.074110