Theory and Modern Applications
From: Numerical approximation of time-fractional Burgers-type equation
 | N | \(L^{2}\)-error | Order | \(L^{\infty }\)-error | Order |
---|---|---|---|---|---|
\(P^{0}\) | 5 | 4.743511647465447e−01 | – | 5.230485703724679e−01 | – |
10 | 2.453322326385340e−01 | 0.95 | 2.745599439848157e−01 | 0.92 | |
15 | 1.653406665596814e−01 | 0.97 | 1.860855920209763e−01 | 0.95 | |
20 | 1.242678198594019e−01 | 0.99 | 1.415701279740494e−01 | 0.95 | |
\(P^{1}\) | 5 | 7.256517536855258e−02 | – | 9.635412347824566e−02 | – |
10 | 1.873884491779974e−02 | 1.95 | 2.552822346426505e−02 | 1.91 | |
15 | 8.432294834666999e−03 | 1.97 | 1.166039812718010e−02 | 1.93 | |
20 | 4.766101927280031e−03 | 1.98 | 6.630816791277043e−03 | 1.96 | |
\(P^{2}\) | 5 | 1.097532348354286e−02 | – | 2.164416564453414e−02 | – |
10 | 1.477316800540677e−03 | 2.89 | 2.900434572823438e−03 | 2.90 | |
15 | 4.535585735151620e−04 | 2.91 | 8.863974464363477e−04 | 2.92 | |
20 | 1.956222641594544e−04 | 2.92 | 3.793487019026590e−04 | 2.95 |