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Table 1 HPM and CM solution when A = 1, M = 1, S = 1, Le = 1, Nb = 1, Nt = 1, Pr = 6.2.

From: RETRACTED ARTICLE: Hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates by analytical method

η

f(η)

θ(η)

ϕ(η)

HPM

CM

FEM

%Error

HPM

CM

FEM

%Error

HPM

CM

FEM

%Error

0

1

1

1

0

1

1

1

0

1

1

1

0

0.1

0.9828509855

0.9824627697

0.9824361313

0.0000266384

0.9346923870

0.8308268138

0.830835128

0.0000083142

0.7793705558

0.9000934056

0.9112683052

−0.0111748996

0.2

0.9392513782

0.9375660234

0.9375269886

0.00003900384

0.8640178590

0.6904013197

0.6910783899

− 0.0006770702

0.6012650162

0.7989509826

0.8108534964

− 0.0119025138

0.3

0.8788058754

0.8752398967

0.8752157845

0.0000241122

0.7884934362

0.5714471980

0.5725408493

− 0.0010936513

0.4559056726

0.6970283829

0.7064057452

− 0.0093773623

0.4

0.8090072079

0.8036034623

0.8035984828

0.0000049795

0.7076406847

0.4683468174

0.4695239098

− 0.0011770924

0.3359299240

0.5947812584

0.6016217396

− 0.0068404812

0.5

0.7359775756

0.7293903870

0.7293979521

0.0000075651

0.6202061754

0.3767871883

0.37785019

− 0.0010630017

0.2360877164

0.4926652610

0.4980783825

− 0.0054131215

0.6

0.6650106060

0.6583174081

0.658336159

− 0.0000187509

0.5243799637

0.2934637222

0.2943510479

− 0.0008873257

0.1530318820

0.3911360429

0.3962207368

− 0.0050846939

0.7

0.6009852669

0.5953956265

0.5954289745

− 0.000033348

0.4179140248

0.2158417967

0.2165647056

− 0.0007229089

0.08537940058

0.2906492557

0.2959127913

− 0.0052635356

0.8

0.5487041816

0.5451846184

0.5452260815

− 0.0000414609

0.2979942644

0.1419761291

0.1425481689

− 0.0005720398

0.03409554226

0.1916605515

0.196753453

− 0.0050929015

0.9

0.5131945405

0.5119893652

0.5120144707

− 0.0000251055

0.1607055638

0.07038795247

0.0707603109

− 0.00037235843

0.003119131100

0.09462558233

0.0982635139

− 0.00363793157

1

0.4999999999

0.5000000008

0.5

0.0000000008

0

0

0

0

0

0

0

0