Skip to main content
Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 The discrete \(L^{2}\) errors, maximum errors, and convergence rates for scheme (16) for Example 1 with \(v_{1}=0.1\) and \(v_{2}=0.9\)

From: Two unconditionally stable difference schemes for time distributed-order differential equation based on Caputo–Fabrizio fractional derivative

h

τ

Δα

\(\Vert e^{N} \Vert ^{*}_{\infty }\)

Order

\(\Vert e^{N} \Vert ^{*}_{2}\)

Order

1/4

1/4

1/10

0.0060

 

0.0075

 

1/8

1/16

1/20

3.7641e−04

3.9946

4.7269e−04

3.9879

1/16

1/64

1/40

2.3576e−05

3.9969

2.9548e−05

3.9998

1/32

1/256

1/80

1.4731e−06

4.0004

1.8462e−06

4.0004

Back to article page