Search results: Found 2

 Listing 1 - 2 of 2 Sort by Relevance Year-Descending Year-Ascending

Article
The Homotopy Analysis Method for Solving Multi- Fractional Order Integro-Differential Equations

Author: Ibtisam K. Hanan
Journal: Al-Nahrain Journal of Science مجلة النهرين للعلوم ISSN: (print)26635453,(online)26635461 Year: 2011 Volume: 14 Issue: 3 Pages: 139-143
Publisher: Al-Nahrain University جامعة النهرين

Abstract

In this paper we use the homotopy analysis method to solve special types of the initial value problems that consist of multi-fractional order integro differential equation in which the fractional derivative and fractional integral in them are described in the Caputo sense and Riemann-Liouville sense respectively. Numerical examples are solved by using this method. These examples shows that high accuracy, simplicity and efficiency of this method

في هذا البحث استعملنا طريقة تحليل الهوموتوبي لحل انواع خاصة من مسائل القيم الابتدائية والتي تحتوي على المعادلات التفاضلية - التكاملية ذات الرتب الكسورية المزدوجة والتي تحتوي على المشتقة الكسورية من نوع كابوتو والتكامل الكسوري من نوع ريمان - ليوفييل. قمنا بحل بعض الامثلة العددية باستخدام هذه الطريقة. هذه الامثلة أضهرت دقة عالية، سهولة، كفاءة لهذه الطريقة.

Keywords

Article
Numerical Methods for Fractional Reaction-Dispersion Equation with Riesz Space Fractional Derivative

Author: I. I. Gorial
Journal: Engineering and Technology Journal مجلة الهندسة والتكنولوجيا ISSN: 16816900 24120758 Year: 2011 Volume: 29 Issue: 4 Pages: 709-715
Publisher: University of Technology الجامعة التكنولوجية

Abstract

In this paper, a numerical solution of fractional reaction-dispersion equation withRiesz space fractional derivative has been presented. The algorithm for the numericalsolution for this equation is based on two finite difference methods. The consistency,stability, and convergence of the fractional order numerical method are described.The numerical methods have been applied to solve a practical numerical exampleand comparing results with the exact solution. The results were presented in tablesusing the MathCAD 12 software package when it is needed. The two finite differencemethods appeared to be effective and reliable in solving fractional reaction-dispersionequation with Riesz space fractional derivative.

Keywords
 Listing 1 - 2 of 2 Sort by Relevance Year-Descending Year-Ascending

Resource type

article (2)

Language

English (2)

Year
 From To

2011 (2)