Table 4: Comparison of our analytical expression of concentration profiles with numerical results and Villa et al. [1] results corresponding to Case 2, for , and , when and .

Dimensionless spatial coordinate
0.00.250.50.751.00

−0.3−0.1 Numerical0.0000000.0489750.0832980.1036100.110432
Analytical (20)0.0000000.0489690.0832710.1035880.110316
Villa et al. [1]0.0000000.0489850.0833020.1036290.110361
−0.5−0.1 Numerical0.0000000.0489430.0821010.1021050.108924
Analytical (20)0.0000000.0482460.0819520.1018810.108475
Villa et al. [1]0.0000000.0482880.0820310.1019870.108591
−1.0−0.1 Numerical0.0000000.0467860.0789980.0979970.104789
Analytical (20)0.0000000.0465300.0788180.0978250.104101
Villa et al. [1]0.0000000.0466730.0790910.0981910.104500
−1.5−0.1 Numerical0.0000000.0450010.0760010.0942550.100213
Analytical (20)0.0000000.0449310.0759010.0940500.100030
Villa et al. [1]0.0000000.0452140.0764420.0947750.100821
−2.0−0.1 Numerical0.0000000.0436780.0733560.0906110.096987
Analytical (20)0.0000000.0434380.0731790.0905300.096234
Villa et al. [1]0.0000000.0438880.0740370.0916780.097487