Table 7 The numerical solution and the absolute errors of Problem 5.3 for \(t=1\), \(h=0.1\), \(k=0.01\), and \(\alpha =\beta =1\)
From: Parametric quintic spline for time fractional Burger’s and coupled Burgers’ equations
x | Exact | PQSM | Absolute errors |
|---|---|---|---|
0.1 | 0.036726662 | 0.0367541 | 2.749 × 10−5 |
0.2 | 0.073086362 | 0.0731449 | 5.859 × 10−5 |
0.3 | 0.108715808 | 0.1088009 | 8.510 × 10−5 |
0.4 | 0.143259002 | 0.1433644 | 1.054 × 10−4 |
0.5 | 0.176370799 | 0.1764883 | 1.175 × 10−4 |
0.6 | 0.207720358 | 0.2078400 | 1.197 × 10−4 |
0.7 | 0.236994443 | 0.2371047 | 1.103 × 10−4 |
0.8 | 0.263900558 | 0.2639884 | 8.788 × 10−5 |
0.9 | 0.288169866 | 0.2882213 | 5.141 × 10−5 |