Some indirect iterative methods for solving Poisson's incomplete differential equation

المؤلفون

  • Mona Saleh Ali Omar University of Zawiya - Faculty of Education, Ajilat المؤلف

DOI:

https://doi.org/10.65405/azwe6402

الكلمات المفتاحية:

Poisson equation – Iteration methods (Gauss-Seidel, Lippmann, Jacobi).

الملخص

Second-order incomplete partial differential equations were studied using numerical methods. For this type of incomplete partial differential equation, we use the rule of fives. To transform the incomplete Poisson equation into a differential equation, we use the Jacobi, Gauss-Seidel, and Lippmann iteration methods.

التنزيلات

تنزيل البيانات ليس متاحًا بعد.

المراجع

1. Smith. G. D. 1987, Numerical Solution of Partial Differential Equations Clarendon press. Oxford.

2. Mitchell. A. R. Griffiths, D. F, 1980, The Finite Difference Method in Partial Differential Equations, john Wiley and Sons, Chichester. New York. Brisbane. Toronto.

3. Krichene, E., Hmadi, M. S. A., & Al-Gajamiya, S. K. (2026). A Fair Comparative Framework for Time-Series Forecasting Using ARIMAX, XGBoost, and LSTM: Evidence from Libya. Al-Farooq Journal of Sciences, 2(3), 69-85.

4. J.c. Stkwerda. Finite Difference Schemes and patial Differential Equations, chapman and Hall, Pacific Grove, 1989.

5. Nasr al din, 2011, Numerical Analysis, Aleppo University, publication faculty of Science.

6. Mithqal Ghalib Yousef Naji, 2005, Numerical Methods for Solving Elliptic Baundary – value problem.

التنزيلات

منشور

2026-06-04

كيفية الاقتباس

Some indirect iterative methods for solving Poisson’s incomplete differential equation. (2026). مجلة العلوم الشاملة, 11(41), 396-401. https://doi.org/10.65405/azwe6402