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An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations
Joint Authors
Baleanu, Dumitru
Bishehniasar, M.
Ismail, Fudzliah
Ahmadian, Ali
Salahshour, Soheil
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The demand of many scientific areas for the usage of fractional partial differential equations (FPDEs) to explain their real-world systems has been broadly identified.
The solutions may portray dynamical behaviors of various particles such as chemicals and cells.
The desire of obtaining approximate solutions to treat these equations aims to overcome the mathematical complexity of modeling the relevant phenomena in nature.
This research proposes a promising approximate-analytical scheme that is an accurate technique for solving a variety of noninteger partial differential equations (PDEs).
The proposed strategy is based on approximating the derivative of fractional-order and reducing the problem to the corresponding partial differential equation (PDE).
Afterwards, the approximating PDE is solved by using a separation-variables technique.
The method can be simply applied to nonhomogeneous problems and is proficient to diminish the span of computational cost as well as achieving an approximate-analytical solution that is in excellent concurrence with the exact solution of the original problem.
In addition and to demonstrate the efficiency of the method, it compares with two finite difference methods including a nonstandard finite difference (NSFD) method and standard finite difference (SFD) technique, which are popular in the literature for solving engineering problems.
American Psychological Association (APA)
Bishehniasar, M.& Salahshour, Soheil& Ahmadian, Ali& Ismail, Fudzliah& Baleanu, Dumitru. 2017. An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations. Complexity،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1143576
Modern Language Association (MLA)
Bishehniasar, M.…[et al.]. An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations. Complexity No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1143576
American Medical Association (AMA)
Bishehniasar, M.& Salahshour, Soheil& Ahmadian, Ali& Ismail, Fudzliah& Baleanu, Dumitru. An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations. Complexity. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1143576
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143576