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Theory and Modern Applications

Table 13 The numerical results of Example 7 with \(\pmb{k=3}\)

From: Numerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets

x

M  = 3

M  = 4

M  = 5

M  = 6

Method in [16] with n  = 14

0.1

0.829706090093794

0.82970609213969

0.829706092330806

0.829706092433877

0.82970609243390

0.2

0.833374731260013

0.833374733298822

0.833374733492775

0.833374733591078

0.83337473359110

0.3

0.839489911535405

0.839489913690883

0.8394899138631

0.83948991395376

0.83948991395381

0.4

0.848052782678684

0.848052784769831

0.848052784915137

0.848052784996097

0.84805278499617

0.5

0.85906492472985

0.859064926965802

0.859064927099445

0.85906492716925

0.85906492716933

0.6

0.872528317441265

0.872528319803658

0.872528319900291

0.87252831995828

0.87252831995828

0.7

0.888445303225948

0.888445305504435

0.888445305576983

0.888445305623171

0.88844530562329

0.8

0.906818545614923

0.906818547978651

0.906818548031817

0.906818548066776

0.90681854806690

0.9

0.927650986181403

0.927650988306455

0.927650988340659

0.927650988365551

0.92765098836568