A high-order multi-resolution wavelet method for nonlinear systems of differential equations

被引:3
作者
Ahsan, Muhammad [1 ,2 ]
Lei, Weidong [2 ]
Bohner, Martin [3 ]
Khan, Amir Ali [1 ]
机构
[1] Univ Swabi, Dept Math, Khyber Pakhtunkhwa 23200, Pakistan
[2] Harbin Inst Technol, Sch Civil & Environm Engn, Shenzhen 518055, Peoples R China
[3] Missouri S&T, Dept Math & Stat, Rolla, MO 65409 USA
关键词
Haar wavelet; H-HWCM; System of nonlinear differential equations; Collocation method; Quasi-linearization technique; HAAR WAVELET; NUMERICAL-SOLUTION; SOLVING ORDINARY;
D O I
10.1016/j.matcom.2023.08.032
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this article, the applications of the new Haar wavelet collocation methods called as Haar wavelet collocation method (HWCM) and higher-order Haar wavelet collocation method (H-HWCM) are developed for the solution of linear and nonlinear systems of ordinary differential equations. The proposed H-HWCM is compared with a variety of other methods including the well-known HWCM. The quasi-linearization technique is introduced in the nonlinear cases. The stability and convergence of both techniques is studied in detail, which are the important parts to analyze the proposed methods. The efficiency of the methods is illustrated with certain numerical examples, but the H-HWCM is more accurate with faster convergence than the HWCM and other methods reported in the literature.(c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:543 / 559
页数:17
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