Solve Partial Differential Equations using the Banach Contraction Method and Improve Results Using the Trapezoidal Rule

Section: Review Paper
Issue
Vol. 15 No. 1 (2021): Volume 15 Issue 1
Published
Jun 10, 2021
Pages
79-85

Abstract

In this paper, the Banach contraction method (BCM) was hybridized with the base of the trapezoid (TR) to solve non-linear partial differential equations. The results obtained from (BCM) were improved by (TR). The results obtained from (BCM -TR) proved the efficiency of this method compared to the default method (BCM). This was done by calculating the mean0square0error (MSE) and estimating the absolute0maximum0error (MAE).

Authors

Ahmed E. Ghatet

Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq

ORCID
Hiba Sh. Mahmood

Department of Mathematics College of Education for Pure Science University of Mosul, Mosul, Iraq

Identifiers

https://doi.org/10.33899/csmj.2021.168254
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How to Cite

E. Ghatet, A., & Sh. Mahmood, H. (2021). Solve Partial Differential Equations using the Banach Contraction Method and Improve Results Using the Trapezoidal Rule. AL-Rafidain Journal of Computer Sciences and Mathematics, 15(1), 79–85. https://doi.org/10.33899/csmj.2021.168254
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