Construction of Interval Wavelet Based on Restricted Variational Principle and Its Application for Solving Differential Equations

Table 4

Comparison of calculation precision obtained by Shannon and quasi-Shannon interval wavelet methods.

𝑗=7	𝜀=0.4	Maximum of absolute error 𝐿=1		Maximu of relative error
		Shannon Interval wavelet	Quasi-Shannon Interval wavelet	Shannon Interval wavelet	Quasi-Shannon Interval wavelet
6	10	1.957398258	2.891724995	0.01764588484	0.0376945532
	1	23.115408165	29.390905441	0.02140336631	0.0396773857
	0.1	465.352264175	201.002620554	0.06886365066	0.0624155254
7	10	0.900334503	1.405000206	0.01873761840	0.0361575879
	1	1.017560446	1.459691836	0.02059129393	0.0371681364
	0.1	175.721016219	132.215467365	0.04324788942	0.0491531901
	0.01	6008.124739931	1565.785030594	0.67380962016	0.1362827615
10	0.01	221.30267	150.79668	0.05825734364	0.0519607606