Table 2 The numerical and analytical solutions with \(m = 8,16,32\) at some values of \(x,y,z\) for Example 6.2

(0,0,0)

0

0.00024150

0.00001628

0.00000632

(0.1,0.1,0,1)

0.00685900

0.00826179

0.00712819

0.00686361

(0.2,0.2,0,2)

0.04665600

0.00474215

0.04668360

0.04667235

(0.3,0.3,0.3)

0.13265100

0.13537123

0.13269271

0.13265689

(0.4,0.4,0.4)

0.26214400

0.26618289

0.26219217

0.26214938

(0.5,0.5,0.5)

0.42187500

0.42728151

0.42196216

0.42188594

(0.6,0.6,0.6)

0.59270400

0.59821987

0.58276251

0.59271328

(0.7,0.7,0.7)

0.75357100

0.75927190

0.75364612

0.75357819

(0.8,0.8,0.8)

0.88473600

0.89128921

0.88480127

0.88474026

(0.9,0.9,0.9)

0.97029900

0.97823619

0.97037265

0.97030106