Cover Image

Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach

In this article, the Haar wavelet collocation method (HWCM) is proposed for the numerical solution of a first-order nonlinear differential equation with a two-point integral condition. A nonlinear ordinary differential equation with an initial condition, an integral condition, or a two-point integra...

Full description

Saved in:
Bibliographic Details
Main Authors: Khan A.A., Ahsan M., Ahmad I., Alwuthaynani M.
Other Authors: 57857377000
Format: Article
Published: Springer Science and Business Media Deutschland GmbH 2025
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.uniten.dspace-37057
record_format dspace
spelling my.uniten.dspace-370572025-03-03T15:47:02Z Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach Khan A.A. Ahsan M. Ahmad I. Alwuthaynani M. 57857377000 57208387829 57220824630 57327251900 In this article, the Haar wavelet collocation method (HWCM) is proposed for the numerical solution of a first-order nonlinear differential equation with a two-point integral condition. A nonlinear ordinary differential equation with an initial condition, an integral condition, or a two-point integral condition can be solved using the proposed technique in a straightforward manner. Two nonlinear test problems have been solved: one with an integral condition and the other with a two-point integral condition. The accuracy of the proposed method is significantly higher than that of the traditional Haar wavelet technique. ? The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Article in press 2025-03-03T07:47:02Z 2025-03-03T07:47:02Z 2024 Article 10.1140/epjs/s11734-024-01254-8 2-s2.0-85199274562 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85199274562&doi=10.1140%2fepjs%2fs11734-024-01254-8&partnerID=40&md5=edf09ebc71582d80e4e197d514265ae5 https://irepository.uniten.edu.my/handle/123456789/37057 Springer Science and Business Media Deutschland GmbH Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
description In this article, the Haar wavelet collocation method (HWCM) is proposed for the numerical solution of a first-order nonlinear differential equation with a two-point integral condition. A nonlinear ordinary differential equation with an initial condition, an integral condition, or a two-point integral condition can be solved using the proposed technique in a straightforward manner. Two nonlinear test problems have been solved: one with an integral condition and the other with a two-point integral condition. The accuracy of the proposed method is significantly higher than that of the traditional Haar wavelet technique. ? The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024.
author2 57857377000
author_facet 57857377000
Khan A.A.
Ahsan M.
Ahmad I.
Alwuthaynani M.
format Article
author Khan A.A.
Ahsan M.
Ahmad I.
Alwuthaynani M.
spellingShingle Khan A.A.
Ahsan M.
Ahmad I.
Alwuthaynani M.
Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
author_sort Khan A.A.
title Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
title_short Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
title_full Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
title_fullStr Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
title_full_unstemmed Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
title_sort enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
publisher Springer Science and Business Media Deutschland GmbH
publishDate 2025
_version_ 1826077506090827776
score 13.244413

Similar Items