A Finite Point Method for Solving the Time Fractional Richards’ Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-09-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, we propose a numerical method for solving the time fractional Richards’ equation.
We first approximate the time fractional derivative of the mentioned equations by a scheme of order O(τ2−α), 0 < a<1; then, we use the finite point method to approximate the spatial derivatives.
Before the discrete spatial derivatives, we introduced the basic principles of the finite point method.
We solve the one- and two-dimensional versions of these equations using the proposed method.
Moreover, the stability properties of the discretized scheme related to time are theoretically analyzed.
Numerical results showed the efficiency of the method presented in this paper.
American Psychological Association (APA)
Qin, Xinqiang& Yang, Xin. 2019. A Finite Point Method for Solving the Time Fractional Richards’ Equation. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1197559
Modern Language Association (MLA)
Qin, Xinqiang& Yang, Xin. A Finite Point Method for Solving the Time Fractional Richards’ Equation. Mathematical Problems in Engineering No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1197559
American Medical Association (AMA)
Qin, Xinqiang& Yang, Xin. A Finite Point Method for Solving the Time Fractional Richards’ Equation. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1197559
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197559