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Theory and Modern Applications

Table 1 Approximate solutions for Example 1

From: A numerical approach for the solution of a class of singular boundary value problems arising in physiology

x

Present method with n  = 14

Method in [28] with n  = 20

Method in [30] with n  = 60

0.0

0.82848328186193

0.82848329481355

0.82848327295802

0.1

0.82970609243390

0.82970609688790

0.82970607521884

0.2

0.83337473359110

0.83337473804308

0.83337471691089

0.3

0.83948991395381

0.83948991833986

0.83948989814383

0.4

0.84805278499617

0.84805278876051

0.84805277036165

0.5

0.85906492716933

0.85906492753032

0.85906491397434

0.6

0.87252831995828

0.87252831569855

0.87252830841853

0.7

0.88844530562329

0.88844529949702

0.88844529589927

0.8

0.90681854806690

0.90681854179965

0.90681854026297

0.9

0.92765098836568

0.92765098305256

0.92765098252660

1.0

0.95094579849657

0.95094579480523

0.95094579461056