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Table 9 Comparison of the numerical results for the second 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

CSM (Ravi and Bhattacharya 2006)

BSM (Çağlar et al. 2009)

BIDM (Khuri and Sayfy 2010)

SGM (Babolian et al. 2015)

Present method

0.0

1.147041084

1.147039937

1.147040795

1.147039016

1.147039019

0.1

1.146511706

1.146510559

1.146511419

1.146509639

1.146509642

0.2

1.144922563

1.144921418

1.144922282

1.144920499

1.144920502

0.3

1.142270622

1.142269478

1.142270348

1.142268560

1.142268563

0.4

1.138550801

1.138549661

1.138550539

1.138548745

1.138548748

0.5

1.133755950

1.133754813

1.133755703

1.133753900

1.133753904

0.6

1.127876795

1.127875663

1.127876562

1.127874754

1.127874756

0.7

1.120901889

1.120900762

1.120901665

1.120899858

1.120899860

0.8

1.112817535

1.112816416

1.112817317

1.112815517

1.112815520

0.9

1.103607704

1.103606593

1.103607490

1.103605701

1.103605704

1.0

1.093253927

1.093252826

1.093253716

1.093251942

1.093251944