Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 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 = 0.2
	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	1.4902e−02	1.0412e−02	7.0982e−04	5.2421e−04	…	0.09360
16	3.8827e−03	2.6898e−03	6.9478e−05	5.0417e−05	3.35283	0.14040
32	1.0156e−03	6.6522e−04	3.4560e−05	2.5203e−05	1.00747	0.26520
64	2.5720e−04	1.4842e−04	1.7410e−06	1.2739e−06	4.31108	0.73321
128	6.3504e−05	2.2129e−05	3.8083e−07	1.9860e−07	2.19272	2.07481

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