Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 Error norms for Problem 3 when \(\lambda =0.1\)

From: Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto–Sivashinsky equation

Δt	BSF [29]		PSF [33]		Proposed method
Δt	\(L_{2}\)	\(L_{\infty}\)	\(L_{2}\)	\(L_{\infty}\)	\(L_{2}\)	\(L_{\infty}\)
0.1	8.9 × 10⁻³	9.9 × 10⁻⁶	1.4 × 10⁻⁴	1.3 × 10⁻⁴	5.83 × 10⁻⁵	7.09 × 10⁻⁵
0.01	1.6 × 10⁻³	2.1 × 10⁻⁶	1.5 × 10⁻⁶	1.3 × 10⁻⁶	5.84 × 10⁻⁷	7.11 × 10⁻⁷
0.001	⋯	⋯	2.2 × 10⁻⁸	2.1 × 10⁻⁸	6.54 × 10⁻⁹	7.95 × 10⁻⁹

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