Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 A comparison of maximum error \((\Vert \cdot \Vert _{\infty })\) and Euclidean norm \((\Vert \cdot \Vert _{2})\) at \(T=1\) for problem-1

From: A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

N	τ = 1.0 × 10⁻²,γ = 0.8
	MCTB-DQM [25]		Proposed method
	\(\Vert \cdot \Vert _{\infty }\)	\(\Vert \cdot \Vert _{2}\)	\(\Vert \cdot \Vert _{\infty }\)	\(\Vert \cdot \Vert _{2}\)	Order	CPU time
08	4.1559e−03	2.9052e−03	2.6864e−05	1.4246e−04	…	0.07800
16	1.0852e−03	7.5335e−04	1.0356e−05	7.4698e−06	1.37526	0.14040
32	2.8491e−04	1.8911e−04	1.1811e−06	7.8660e−07	3.13225	0.24960
64	7.2683e−05	4.4967e−05	5.3813e−07	3.2574e−07	1.13407	0.65520
128	1.8220e−05	8.7572e−06	2.4165e−07	1.5278e−07	1.15502	2.01241

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