Continuous Genetic Algorithm as a Novel Solver for Stokes and Nonlinear Navier Stokes Problems

المؤلفون المشاركون

Mubarak, Y.
Abo-Hammour, Z. S.
Abo-Hammour, Zaer

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-18، 18ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-06-04

دولة النشر

مصر

عدد الصفحات

18

التخصصات الرئيسية

هندسة مدنية

الملخص EN

The one-dimensional continuous genetic algorithm (CGA) previously developed by the principal author is extended and enhanced to deal with two-dimensional spaces in this paper.

The enhanced CGA converts the partial differential equations into algebraic equations by replacing the derivatives appearing in the differential equation with their proper finite difference formula in 2D spaces.

This optimization methodology is then applied for the solution of steady-state two-dimensional Stokes and nonlinear Navier Stokes problems.

The main advantage of using CGA for the solution of partial differential equations is that the algorithm can be applied to linear and nonlinear equations without any modification in its structure.

A comparison between the results obtained using the 2D CGA and the known Galerkin finite element method using COMSOL is presented in this paper.

The results showed that CGA has an excellent accuracy as compared to other numerical solvers.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Abo-Hammour, Z. S.& Abo-Hammour, Zaer& Mubarak, Y.. 2014. Continuous Genetic Algorithm as a Novel Solver for Stokes and Nonlinear Navier Stokes Problems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-488162

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Abo-Hammour, Z. S.…[et al.]. Continuous Genetic Algorithm as a Novel Solver for Stokes and Nonlinear Navier Stokes Problems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-488162

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Abo-Hammour, Z. S.& Abo-Hammour, Zaer& Mubarak, Y.. Continuous Genetic Algorithm as a Novel Solver for Stokes and Nonlinear Navier Stokes Problems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-488162

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-488162