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

Table 2

Influence of parameter 𝜀.

(10^−3)	(10^−1)	Maximum of absolute error 𝜀			Maximum of relative error 𝑥=1
		Wavelet	Quasi-wavelet	Interval wavelet	Wavelet	Quasi-wavelet	Interval wavelet
6	10	0.106914	0.111678	0.028917	1.380331	1.441719	0.376946
	1	1.123656	1.174248	0.293909	1.378319	1.439217	0.396774
	0.1	11.376105	11.941366	2.010026	1.420279	1.483418	0.624155
	0.01	222.141128	23.408347	57.468784	5.043318	1.972964	1.887983
	0.001	412.488802	207.321583	411.521362	266.324372	3.312058	6.574245
7	10	0.053260	0.056518	0.014050	1.363706	1.424885	0.361576
	1	0.563071	0.588491	0.145969	1.362734	1.423654	0.371681
	0.1	6.085202	6.374630	1.322155	1.386066	1.446475	0.491532
	0.01	31.345841	33.297824	1.565785	1.347694	1.740275	1.362828
	0.001	164.839419	151.457045	33.225063	185.349515	2.552534	5.285445
8	10	0.026582	0.027779	0.006915	1.355528	1.4165667	0.353550
	1	0.281860	0.294593	0.072672	1.355051	1.4159566	0.358653
	0.1	3.146638	3.292653	0.745793	1.367255	1.427546	0.420238
	0.01	23.224318	24.535314	7.964710	1.474450	1.588004	0.947608
	0.001	56.195135	63.509684	206.247916	57.747668	2.338209	3.339211
10	0.001	31.438062	33.344138	23.764024	0.798518	1.807492	1.523272