Theory and Modern Applications
Table 2 Comparison of \(L^{2}\)-norm error between the difference scheme and the method in the paper
From: Novel finite point approach for solving time-fractional convection-dominated diffusion equations
N | γ = 0.1 | γ = 0.3 | γ = 0.5 | γ = 0.8 | |
|---|---|---|---|---|---|
L1-TFPM (\(L^{2}\)-norm) | 16 | 3.6293e−006 | 2.9616e−005 | 1.4826e−004 | 1.9736e−003 |
32 | 3.5706e−006 | 2.8942e−005 | 1.4615e−004 | 1.2638e−003 | |
64 | 3.4309e−006 | 2.8541e−005 | 1.3479e−004 | 1.2415e−003 | |
128 | 3.2558e−006 | 2.2658e−005 | 1.2900e−004 | 2.9737e−004 | |
DM (\(L^{2}\)-norm) | 16 | 4.5172e−001 | 7.8411e−001 | 4.3837e−001 | 4.1023e−001 |
32 | 4.6780e−001 | 7.7903e−001 | 3.5481e−001 | 3.9876e−001 | |
64 | 2.7585e−001 | 7.7663e−001 | 4.6309e−001 | 4.7101e−001 | |
128 | 4.7989e−001 | 7.6865e−001 | 1.6723e−001 | 4.5263e−001 |