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A Modified Three-Level Average Linear-Implicit Finite Difference Method for the Rosenau-Burgers Equation
Joint Authors
Wongsaijai, Ben
Janwised, Jiraporn
Poochinapan, Kanyuta
Mouktonglang, Thanasak
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce a new technique, a three-level average linear-implicit finite difference method, for solving the Rosenau-Burgers equation.
A second-order accuracy on both space and time numerical solution of the Rosenau-Burgers equation is obtained using a five-point stencil.
We prove the existence and uniqueness of the numerical solution.
Moreover, the convergence and stability of the numerical solution are also shown.
The numerical results show that our method improves the accuracy of the solution significantly.
American Psychological Association (APA)
Janwised, Jiraporn& Wongsaijai, Ben& Mouktonglang, Thanasak& Poochinapan, Kanyuta. 2014. A Modified Three-Level Average Linear-Implicit Finite Difference Method for the Rosenau-Burgers Equation. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-494372
Modern Language Association (MLA)
Janwised, Jiraporn…[et al.]. A Modified Three-Level Average Linear-Implicit Finite Difference Method for the Rosenau-Burgers Equation. Advances in Mathematical Physics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-494372
American Medical Association (AMA)
Janwised, Jiraporn& Wongsaijai, Ben& Mouktonglang, Thanasak& Poochinapan, Kanyuta. A Modified Three-Level Average Linear-Implicit Finite Difference Method for the Rosenau-Burgers Equation. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-494372
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494372