Table 2: Comparison of our analytical expression of concentration profiles with numerical results and Villa et al. [1] results corresponding to Case 1, for , and , when and .

Dimensionless spatial coordinate
0.00.250.50.751.00

−2.5−0.5 Numerical0.0000000.0443560.0748900.0928780.098564
Analytical (15)0.0000000.0442540.0746080.0923200.098140
Villa et al. [1]0.0000000.0450770.0761800.0944250.100440
−5−0.5 Numerical0.0000000.0378210.0624020.0765230.080991
Analytical (15)0.0000000.0374610.0622000.0762570.080814
Villa et al. [1]0.0000000.0393540.0658290.0811210.086125
−7.5−0.5 Numerical0.0000000.0328410.0539730.0680000.070002
Analytical (15)0.0000000.0326510.0534540.0678310.069662
Villa et al. [1]0.0000000.0353850.0587060.0720180.076351
−4−0.2 Numerical0.0000000.0403450.0671450.0831000.087989
Analytical (15)0.0000000.0400970.0670280.0825200.087574
Villa et al. [1]0.0000000.0415590.0698250.0862650.091662
−5−0.2 Numerical0.0000000.0381100.0628990.0771210.081987
Analytical (15)0.0000000.0376840.0626280.0768310.081440
Villa et al. [1]0.0000000.0395510.0662030.0816190.086668