Solve Partial Differential Equations using the Banach Contraction Method and Improve Results Using the Trapezoidal Rule | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 6, Volume 15, Issue 1, June 2021, Pages 79-85 PDF (541.25 K) | ||
| Document Type: Review Paper | ||
| DOI: 10.33899/csmj.2021.168254 | ||
| Authors | ||
| Ahmed E. Ghitheeth* 1; Hiba Sh. Mahmood2 | ||
| 1Department of Mathematics College of Computer Science and Mathematics University of Mosul, Mosul, Iraq | ||
| 2Department of Mathematics College of Education for Pure Science University of Mosul, Mosul, Iraq | ||
| 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). | ||
| Keywords | ||
| Banach contraction method; Trapezoidal Rule; Partial differential equations | ||
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