Table 8 The \(L_{2}\) error norm of Problem 5.3 for \(k=0.01\)
From: Parametric quintic spline for time fractional Burger’s and coupled Burgers’ equations
t | α = β = 1 | α = β = 0.9 | α = β = 0.6 | |||
|---|---|---|---|---|---|---|
PQSM | BSM [18] | PQSM | BSM [18] | PQSM | BSM [18] | |
0.01 | 6.48 × 10−5 | 4.16 × 10−2 | 6.17 × 10−3 | 2.68 × 10−2 | 4.02 × 10−2 | 2.49 × 10−2 |
0.05 | 2.43 × 10−4 | 3.99 × 10−2 | 1.57 × 10−2 | 3.01 × 10−2 | 6.31 × 10−2 | 2.58 × 10−2 |
0.10 | 3.72 × 10−4 | 3.79 × 10−2 | 1.74 × 10−2 | 2.88 × 10−2 | 5.82 × 10−2 | 2.31 × 10−2 |
0.50 | 4.31 × 10−4 | 2.55 × 10−2 | 2.80 × 10−4 | 1.64 × 10−2 | 5.23 × 10−3 | 5.46 × 10−3 |
1.00 | 2.71 × 10−4 | 1.54 × 10−2 | 8.13 × 10−3 | 7.87 × 10−3 | 2.41 × 10−2 | 4.84 × 10−3 |