On Solving Fractional Mobile/Immobile Equation
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Sage Publications Ltd
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
Abstract
In this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method. The spatial and temporal derivatives are approximated based on two difference schemes of orders O(T2-alpha) and O(h(4)), respectively. The proposed method is unconditionally stable and the convergence is analyzed within Fourier analysis. Furthermore, the solvability of the compact finite difference approach is proved. The obtained results show the ability of the compact finite difference.
Description
Keywords
Mobile/Immobile Equation, Time Fractional, Compact Finite Difference, Fourier Analysis, Stability, Convergence, Solvability, Finite difference, Finite element method, Fractional Differential Equations, Economics, Compact finite difference, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, TJ1-1570, FOS: Mathematics, Mechanical engineering and machinery, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Economic growth, Numerical Analysis, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, Finite difference coefficient, Fractional calculus, Mixed finite element method, Finite difference method, Applied mathematics, Fourier analysis, Fractional Derivatives, Modeling and Simulation, Physical Sciences, Convergence (economics), Fourier transform, Thermodynamics, Fractional Calculus, Mathematics
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Pourbashash, Hossein; Baleanu, Dumitru; Al Qurashi, Maysaa Mohamed (2017). On solving fractional mobile/immobile equation, Advances in Mechanical Engineering, 9(1).
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
6
Source
Advances in Mechanical Engineering
Volume
9
Issue
1
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End Page
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CrossRef : 6
Scopus : 11
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