国际数学和数学科学杂志》上
研究文章

Haar小波运算矩阵法对部分振动方程

表5

解决方案的高阶振荡方程:比较哈雾wavelet-quasilinearization技术在6日迭代和水平分辨率 与广义微分求积规则(GDQR)方法(14)和精确解。
6日迭代
(14] (14] (14]
0.0 0 0 0 0 0
0.7 1.2692 1.2693 −0.002 1.2692 0.0025
1.4 2.0990 2.0993 −0.010 2.0990 0.0037
2.1 2.0929 2.0933 −0.019 2.0928 0.0048
2.8 1.2541 1.2545 −0.027 1.2541 0.0059
3.5 −0.0179 −0.0177 0.813 −0.0179 −0.1679
4.2 −1.2843 −1.2842 0.003 −1.2843 −0.0010
4.9 1.0880 −2.1051 −0.004 1.0879 0.0063
5.6 −2.0866 −2.0868 −0.014 −2.0865 −0.0046
6.3 −1.2390 −1.2395 −0.039 −1.2389 −0.0083
7.0 0.0357 0.0352 1.276 0.0358 0.2095
7.7 1.2992 1.2990 0.013 1.2992 0.0010
8.4 2.1109 2.1111 −0.009 2.1108 0.0031
9.1 2.0801 2.0805 −0.021 2.0800 0.0056
9.8 1.2237 1.2243 −0.044 1.2236 0.0099
10.5 −0.0536 −0.0529 1.146 −0.0537 −0.1965
11.2 −1.3141 −1.3136 0.037 −1.3141 −0.0042
11.9 −2.1166 −2.1166 −0.002 −2.1166 −0.0022
12.6 −2.0734 −2.0741 −0.030 −2.0733 −0.0068
13.3 −1.2084 −1.2093 −0.071 −1.2082 −0.0136
14.0 0.0714 0.0706 1.057 0.0715 0.1888