Zagazig University Digital Repository
Home
Thesis & Publications
All Contents
Publications
Thesis
Graduation Projects
Research Area
Research Area Reports
Search by Research Area
Universities Thesis
ACADEMIC Links
ACADEMIC RESEARCH
Zagazig University Authors
Africa Research Statistics
Google Scholar
Research Gate
Researcher ID
CrossRef
Solving one- and two-dimensional unsteady Burgers' equation using fully implicit finite difference schemes
Faculty
Engineering
Year:
2019
Type of Publication:
ZU Hosted
Pages:
Authors:
Norhan Alaaeldeen Mohamed Ali Hsan
Staff Zu Site
Abstract In Staff Site
Journal:
ARAB JOURNAL OF BASIC AND APPLIED SCIENCES Taylor & Francis Group
Volume:
Keywords :
Solving one- , two-dimensional unsteady Burgers' equation using
Abstract:
This paper introduces new fully implicit numerical schemes for solving 1D and 2D unsteady Burgers’ equation. The non-linear Burgers’ equation is discretized in the spatial direction by using second order Finite difference method which converts the Burgers’ equation to nonlinear system of ODEs. Then, the backward differentiation formula of order two (BDF-2) is employed to march the solution in the time direction. The non-linear term in the obtained system is linearized without any transformation; and it forms a system of linear algebraic equations that is solved by using Thomas’s algorithm. Accuracy and performance of the proposed schemes are studied by using four test problems with Dirichlet and Neumann boundary conditions. Comparing the numerical results with exact solutions and the solutions of other schemes shows that the proposed schemes are simple, efficient and accurate even for the cases with high Reynolds numbers.
Author Related Publications
Norhan Alaaeldeen Mohamed Ali Hsan , "A novel differential-integral quadrature method for the solution of nonlinear integro-differential equations", John Wiley & Sons Ltd, 2021
More
Norhan Alaaeldeen Mohamed Ali Hsan , "Surface energy effects on the nonlinear free vibration of functionally graded Timoshenko nanobeams based on modified couple stress theory", World Scientific Publishing Company, 2019
More
Norhan Alaaeldeen Mohamed Ali Hsan , "Effective numerical technique applied for Burgers' equation of (1 + 1)-, (2 + 1)-dimensional, and coupled forms", John Wiley & Sons, Ltd, 2021
More
Norhan Alaaeldeen Mohamed Ali Hsan , "Effective numerical technique applied for Burgers' equation of (1+1)-, (2+1)-dimensional, and coupled forms", Wiley, 2021
More
Norhan Alaaeldeen Mohamed Ali Hsan , "Free vibration analysis of nonlocal viscoelastic nanobeam with holes and elastic foundations by Navier analytical method", Techno-Press, 2023
More
Department Related Publications
Hany Arafa Abdelmohsen Ali Metwallie, "Modelling of homogeneous helium DBD with small nitrogen content", 31st ICPIG, July 14-19, 2013, Granada, Spain, 2013
More
Rania Bahgat Mohamed Amer, "Analysis Of Reaction Diffusion Problems Using Differential Quadrature Method", International Journals of Engineering & Sciences, 2013
More
Mohamed Saad Metwaly Abdelkreem , "Analysis Of Reaction Diffusion Problems Using Differential Quadrature Method", International Journals of Engineering & Sciences, 2013
More
Mohamed Salaheldin Mohamed Mohamed Ali, "Analysis Of Reaction Diffusion Problems Using Differential Quadrature Method", International Journals of Engineering & Sciences, 2013
More
Rania Bahgat Mohamed Amer, "The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes", Scientific Research, 2014
More
جامعة المنصورة
جامعة الاسكندرية
جامعة القاهرة
جامعة سوهاج
جامعة الفيوم
جامعة بنها
جامعة دمياط
جامعة بورسعيد
جامعة حلوان
جامعة السويس
شراقوة
جامعة المنيا
جامعة دمنهور
جامعة المنوفية
جامعة أسوان
جامعة جنوب الوادى
جامعة قناة السويس
جامعة عين شمس
جامعة أسيوط
جامعة كفر الشيخ
جامعة السادات
جامعة طنطا
جامعة بنى سويف