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
Fractional differential quadrature techniques for fractional order Cauchy reaction-diffusion equations
Faculty
Engineering
Year:
2023
Type of Publication:
ZU Hosted
Pages:
Authors:
Mohamed Salaheldin Mohamed Mohamed Ali
Staff Zu Site
Abstract In Staff Site
Journal:
Math Meth Appl Sc wiley
Volume:
Keywords :
Fractional differential quadrature techniques , fractional order Cauchy
Abstract:
This paper aims to explore and apply differential quadrature based on different test functions to find an efficient numerical solution of fractional order Cauchy reaction-diffusion equations (CRDEs). The governing system is discretized through time and space via novel techniques of differential quadrature method and the fractional operator of Caputo kind. Two problems are offered to explain the accuracy of the numerical algorithms. To verify the reliability, accuracy, efficiency, and speed of these methods, computed results are compared numerically and graphically with the exact and semi-exact solutions. Then mainly, we deal with absolute errors and L∞ errors to study the convergence of the presented methods. For each technique, MATLAB Code is designed to solve these problems with the error reaching ≤1 105 . In addition, a parametric analysis is presented to discuss influence of fractional order derivative on results. The achieved solutions prove the viability of the presented methods and demonstrate that these methods are easy to implement, effective, high accurate, and appropriate for studying fractional partial differential equations emerging in fields related to science and engineering.
Author Related Publications
Mohamed Salaheldin Mohamed Mohamed Ali, "Analysis Of Reaction Diffusion Problems Using Differential Quadrature Method", International Journals of Engineering & Sciences, 2013
More
Mohamed Salaheldin Mohamed Mohamed Ali, "The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes", Scientific Research, 2014
More
Mohamed Salaheldin Mohamed Mohamed Ali, "An Efficient Method to Solve Thermal Wave Equation", Scientific Research, 2014
More
Mohamed Salaheldin Mohamed Mohamed Ali, "Modeling and Solution of Reaction–Diffusion Equations by Using the Quadrature and Singular Convolution Methods", 3, 2022
More
Mohamed Salaheldin Mohamed Mohamed Ali, "Efficient discrete singular convolution differential quadrature algorithm for solitary wave solutions for higher dimensions in shallow water waves", Taylor & Francis, 2022
More
Department Related Publications
Amr Mohamed Salaheldeen Abdelaziem Mohamed, "Green’s function expansion for exponentially graded elasticity", لايوجد, 1900
More
Hany Arafa Abdelmohsen Ali Metwallie, "Blended Learning Approach in Research and Education of Laboratory Physics", Conference ICL2010 September 15 -17, 2010 Hasselt, Belgium, 2010
More
Magda Mahmoud Mohamed Kasem, "Group similarity solutions of (2 + 1) Boiti-Leon-Manna-Pempinelli Lax pair.", Elsvier, 2014
More
Ola Ragab Abdou Mohamed, "Quadrature Analysis of Functionally Graded Materials", IJET-IJENS, 2014
More
Rania Bahgat Mohamed Amer, "An Efficient Method to Solve Thermal Wave Equation", 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