Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A computationally efficient hybridization of the Laplace transform with two spatial discretization techniques is investigated for numerical solutions of time-fractional linear partial differential equations in two space variables.
The Chebyshev collocation method is compared with the standard finite difference spatial discretization and the absolute error is obtained for several test problems.
Accurate numerical solutions are achieved in the Chebyshev collocation method subject to both Dirichlet and Neumann boundary conditions.
The solution obtained by these hybrid methods allows for the evaluation at any point in time without the need for time-marching to a particular point in time.
American Psychological Association (APA)
Jacobs, B. A.& Harley, Charis. 2014. Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014732
Modern Language Association (MLA)
Jacobs, B. A.& Harley, Charis. Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014732
American Medical Association (AMA)
Jacobs, B. A.& Harley, Charis. Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014732
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014732