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

Table 2

The numerical results for Re=50,𝐻=1000.

𝑥	HAM [3]	RKHSM   (𝛼=5)	Error	HAM [3]	RKHSM   (𝛼=−5)	Error
0	1.000000000	1.0000000000	0.0	1.000000000	1.00000000	0.0
0.05	0.997605126	0.997605447	3.203×10^−7	0.999197467	0.99919702	4.432×10^−7
0.10	0.990427215	0.990432890	0.56744×10^−6	0.99675704	0.9967562	8.409×10^−7
0.15	0.978485626	0.9784839628	0.16638×10^−6	0.992578975	0.992578	9.754×10^−7
0.20	0.961810074	0.96179	0.20074×10^−5	0.98649281	0.98649340	5.900×10^−7
0.25	0.940436864	0.9403939	0.42964×10^−5	0.978250927	0.9782510	7.24×10^−8
0.30	0.91440365	0.9145	0.96349×10^−5	0.967519314	0.9675443	0.24985×10^−5
0.35	0.883742856	0.8833	0.44285×10^−4	0.953865319	0.95382	0.45319×10^−5
0.40	0.848473706	0.8484738539	1.473×10^−7	0.936742176	0.936821	0.78823×10^−5
0.45	0.808592961	0.808592834	1.279×10^−7	0.915470063	0.915531	0.60936×10^−5
0.50	0.764064241	0.7640637445	4.967×10^−7	0.889213540	0.889241	0.27459×10^−5
0.55	0.714805913	0.7148062	2.867×10^−7	0.856955292	0.8565	0.45529×10^−4
0.60	0.660677266	0.660670	0.72666×10^−6	0.817466464	0.817199	0.26746×10^−4
0.65	0.601462467	0.6014683135	0.58461×10^−6	0.769274094	0.770	0.7259×10^−4
0.70	0.536852087	0.53685274	6.525×10^−7	0.710627559	0.710014	0.61355×10^−4
0.75	0.466421078	0.4664202	8.783×10^−7	0.639465773	0.63946970	0.39331×10^−6
0.80	0.389601905	0.389602099	1.934×10^−7	0.553390063	0.55336107	0.28992×10^−5
0.85	0.305651801	0.305645	0.68011×10^−6	0.449648596	0.44963621	0.12386×10^−5
0.90	0.213611172	0.2136120	8.277×10^−7	0.325142373	0.32516167	0.19298×10^−5
0.95	0.112250324	0.112249347	9.775×10^−7	0.176465831	0.17656197	0.9614×10^−5
1.00	0.000000000	8.3437×10^−8	8.3437×10^−8	0.000000000	3.614×10^−7	3.614×10^−7