A Comparative Study using Scale-2 and Scale-3 Haar Wavelet for the Solution of Higher Order Differential Equation

IF 1.3 Q3 ENGINEERING, MULTIDISCIPLINARY

International Journal of Mathematical Engineering and Management Sciences Pub Date : 2023-10-01 DOI:10.33889/ijmems.2023.8.5.055

Ratesh Kumar, Jaya Gupta

引用次数: 0

Abstract

A comparative study of scale-2 and scale-3 Haar wavelet has been presented to illustrate the level of accuracy attained by both the wavelets by applying on higher order differential equations known as Emden fowler equation, which has great importance in the field of astrophysics. Approximation of space variable is done by scale-2 and scale-3 Haar wavelet method by choosing different scales. The method is tested upon several test problems. The results are computed and compared in the form of absolute errors. The numerical tests confirm the accuracy, applicability and efficiency of the proposed method with different levels using both the wavelets. By the help of MATLAB algorithm simplification of the computational process is done.

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用尺度2和尺度3 Haar小波解高阶微分方程的比较研究

本文对尺度2和尺度3 Haar小波进行了比较研究，以说明这两种小波在天体物理学中具有重要意义的高阶微分方程(即Emden fowler方程)上的精度。通过选择不同的尺度，利用尺度2和尺度3的哈尔小波方法对空间变量进行逼近。在几个测试问题上对该方法进行了测试。结果以绝对误差的形式进行计算和比较。数值实验验证了该方法在不同层次上的准确性、适用性和有效性。借助MATLAB算法对计算过程进行了简化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Mathematical Engineering and Management Sciences Multiple-

CiteScore

3.80

自引率

6.20%

发文量

审稿时长

20 weeks

期刊介绍： IJMEMS is a peer reviewed international journal aiming on both the theoretical and practical aspects of mathematical, engineering and management sciences. The original, not-previously published, research manuscripts on topics such as the following (but not limited to) will be considered for publication: *Mathematical Sciences- applied mathematics and allied fields, operations research, mathematical statistics. *Engineering Sciences- computer science engineering, mechanical engineering, information technology engineering, civil engineering, aeronautical engineering, industrial engineering, systems engineering, reliability engineering, production engineering. *Management Sciences- engineering management, risk management, business models, supply chain management.