Finite Element Solutions for the Space Fractional Diffusion Equation with a Nonlinear Source Term
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-06
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We consider finite element Galerkin solutions for the space fractional diffusion equation with a nonlinear source term.
Existence, stability, and order of convergence of approximate solutions for the backward Euler fully discrete scheme have been discussed as well as for the semidiscrete scheme.
The analytical convergent orders are obtained as O(k+hγ˜), where γ˜ is a constant depending on the order of fractional derivative.
Numerical computations are presented, which confirm the theoretical results when the equation has a linear source term.
When the equation has a nonlinear source term, numerical results show that the diffusivity depends on the order of fractional derivative as we expect.
American Psychological Association (APA)
Choi, Y. J.& Chung, S. K.. 2012. Finite Element Solutions for the Space Fractional Diffusion Equation with a Nonlinear Source Term. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-483782
Modern Language Association (MLA)
Choi, Y. J.& Chung, S. K.. Finite Element Solutions for the Space Fractional Diffusion Equation with a Nonlinear Source Term. Abstract and Applied Analysis No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-483782
American Medical Association (AMA)
Choi, Y. J.& Chung, S. K.. Finite Element Solutions for the Space Fractional Diffusion Equation with a Nonlinear Source Term. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-483782
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483782