Functional and Matrix Approximation of Numerical Solution of Haar Wavelet

No Thumbnail Available

Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

Publ House Bulgarian Acad Sci

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Abstract

In this article, a uniform Haar wavelet approach is devised to numerically solve the differential equations. The uniform Haar wavelet coefficients are generated by employing collocation points. The generalized approach for function and matrix approximation using Haar wavelets is proposed. This study aims to decide which method is more useful by reflecting on the differences between the two methods. Also, the application of Haar wavelets to the solution of a first and second-order ODE is described in this research. To assess its applicability and efficiency, two test problems are used. The findings obtained are compared to those obtained using the function and matrix approximation methods. For numerically solving first and second-order ODEs, the Haar wavelet methodology gives a more reliable and exact method. By estimating error norms for various problems, the performance and accuracy of the method have been shown.

Description

Keywords

Collocation Points, Haar Wavelet Method, Numerical Methods

Turkish CoHE Thesis Center URL

Fields of Science

Citation

0

WoS Q

Q4

Scopus Q

Q3

Source

Volume

77

Issue

6

Start Page

793

End Page

800