Research Article

A Comparative Analysis of Fractional Space-Time Advection-Dispersion Equation via Semi-Analytical Methods

Table 1

Analysis of the approximate solution by NITM and HPTM for problem 1.


0.10.57.652126273.00000002.348261063.0000000
14.641249202.00000001.424292332.0000000
1.52.815059931.00000008.638769601.0000000
21.707420161.00000005.239678701.0000000
2.51.035602674.00000003.178025754.0000000
36.281247752.00000001.927570062.0000000
3.53.809769342.00000001.169130332.0000000
42.310741911.00000007.091133901.0000000
4.51.401535811.00000004.300990101.0000000
58.500744433.00000002.608682393.0000000

0.20.51.093712925.80000003.656603125.8000000
16.633704233.50000002.217841913.5000000
1.54.023545002.10000001.345189112.1000000
22.440403401.30000008.158984401.3000000
2.51.480179487.80000004.948674207.8000000
38.977742404.70000003.001522624.7000000
3.55.445276022.90000001.820515502.9000000

43.302726861.70000001.104198471.7000000
4.52.003205111.00000006.697302301.0000000
51.215005316.40000004.062119156.4000000
0.30.51.352182502.99000004.731515822.9900000
18.201401471.81000002.869809421.8100000
1.54.974401441.10000001.740627391.1000000
23.017126986.70000001.055743886.7000000
2.51.829980024.04000006.403410334.0400000
31.109938992.45000003.883864702.4500000
3.56.732120281.49000002.355683011.4900000
44.083237369.00000001.428793989.0000000
4.52.476608655.40000008.666073605.4000000
51.502139073.32000005.256239293.32000000