Improved the results of the Banach contraction method using the trapezoidal rule for solving differential equations

In this work, the Banach contraction method (BCM) was hybridized with the trapezoidal rule (TR) to solve linear and nonlinear ordinary differential. The results obtained from Banach contraction method using the trapezoidal rule were improved by solving some examples and the results showed that the p...

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Bibliographic Details
Published in:	Journal of interdisciplinary mathematics Vol. 25; no. 8; pp. 2417 - 2429
Main Authors:	Entesar, Ahmed, Mahmood, Hiba Shuker
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 17-11-2022
Subjects:	Banach contraction method Linear and nonlinear differentiation equations Trapezoidal rule
Online Access:	Get full text
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Summary:	In this work, the Banach contraction method (BCM) was hybridized with the trapezoidal rule (TR) to solve linear and nonlinear ordinary differential. The results obtained from Banach contraction method using the trapezoidal rule were improved by solving some examples and the results showed that the proposed method is better than the default method, where the maximum absolute error (MAE) was calculated, as well as the mean square error (MSE) of the default and proposed method, and the results of the two methods were also drawn by using Maple program.
ISSN:	0972-0502 2169-012X
DOI:	10.1080/09720502.2021.1970950