A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel Walls

Table 1

The comparison between the numerical results and DTM, HPM, HAM, and  RKHSM  solutions for Re=110,𝛼=3,and𝐻=0.

𝑥	DTM [5]	HPM [5]	HAM [5]	RKHSM	Numerical [5]
0.0	1.000000000	1.0000000000	1.0000000000	1.0000000000	1.0000000000
0.1	0.9789771156	0.9791761778	0.9792357062	0.9792357171	0.9792357085
0.2	0.9182598446	0.9190424983	0.9192658842	0.91926585	0.9192658898
0.3	0.8243664466	0.8260939720	0.8265336102	0.82653635	0.8265336182
0.4	0.7065763476	0.7096036928	0.7102211838	0.7102315393	0.7102211890
0.5	0.5751498602	0.5798357741	0.5804994700	0.5804817201	0.5804994634
0.6	0.4397114086	0.4463900333	0.4469350941	0.4468796913	0.4469350697
0.7	0.3081560927	0.3170877938	0.3174084545	0.3174013727	0.3174084270
0.8	0.1862239095	0.1975366451	0.1976410661	0.1976321	0.1976410889
0.9	0.0784362201	0.09124214542	0.09123022879	0.0912030082	0.0912304211
1.0	0.0000000015	0.0000000007	−0.00000047	8.052549207 × 10^−8	0.0