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Table 8 Comparison of the numerical results for the first case of Example 4

From: An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method

x

FDM (Pandey 1997)

NPCSM (Rashidinia et al. 2007)

CSM (Ravi and Bhattacharya 2006)

SGM (Babolian et al. 2015)

Present method

0.0

0.3675169710

0.3675181074

0.3675179806

0.3675168124

0.3675167997

0.1

0.3663623697

0.3663637561

0.3663634922

0.3663623265

0.3663623137

0.2

0.3628941066

0.3628959378

0.3628952219

0.3628940634

0.3628940507

0.3

0.3570975862

0.3570991429

0.3570986892

0.3570975430

0.3570975301

0.4

0.3489484612

0.3489499903

0.3489495462

0.3489484178

0.3489484049

0.5

0.3384121893

0.3384136581

0.3384132502

0.3384121459

0.3384121330

0.6

0.3254435631

0.3254450019

0.3254445925

0.3254435196

0.3254435063

0.7

0.3099860810

0.3099878567

0.3099870705

0.3099860373

0.3099860240

0.8

0.2919711440

0.2919789654

0.2919720836

0.2919711001

0.2919710864

0.9

0.2713170512

0.2713185637

0.2713179289

0.2713170072

0.2713169936

1.0

0.2479277646

0.2479292837

0.2479285659

0.2479277203

0.2479277073