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 | 4.348211568435824e−01 | – | 5.042185301727834e−01 | – |
10 | 2.424520324538541e−01 | 0.95 | 2.624532134506741e−01 | 0.92 | |
15 | 1.352400215461305e−01 | 0.97 | 1.589644242186741e−01 | 0.95 | |
20 | 1.121874628534372e−01 | 0.99 | 1.289403452797642e−01 | 0.95 | |
\(P^{1}\) | 5 | 7.684216542820121e−02 | – | 9.154712784824911e−02 | – |
10 | 1.687534622310582e−02 | 1.95 | 2.164722782426461e−02 | 1.91 | |
15 | 8.534804436315641e−03 | 1.97 | 1.247106712856485e−02 | 1.93 | |
20 | 4.521403201237941e−03 | 1.98 | 6.503791571074942e−03 | 1.96 | |
\(P^{2}\) | 5 | 1.164727942789012e−02 | – | 2.237484026942101e−02 | – |
10 | 1.348554214954641e−03 | 2.89 | 2.899243648502348e−03 | 2.90 | |
15 | 4.054195123465723e−04 | 2.91 | 8.057494485268102e−04 | 2.92 | |
20 | 1.264756425642313e−04 | 2.92 | 3.752416915626942e−04 | 2.95 |