Publication: Enhanced resolution in solving first-order nonlinear differential equations with integral condition: a high-order wavelet approach
Date
2024
Authors
Khan A.A.
Ahsan M.
Ahmad I.
Alwuthaynani M.
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Science and Business Media Deutschland GmbH
Abstract
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.