https://doi.org/10.1140/epjs/s11734-024-01254-8
Regular Article
Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
1
Department of Mathematics, University of Swabi, 23200, Khyber Pakhtunkhwa, Pakistan
2
Institute of Informatics and Computing in Energy (IICE), Universiti Tenaga Nasional, 43000, Kajang, Selangor, Malaysia
3
Department of Mathematics, Taif University, Taif, Saudi Arabia
Received:
26
March
2024
Accepted:
12
July
2024
Published online:
22
July
2024
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.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.