HAM-Based Adaptive Multiscale Meshless Method for Burgers Equation
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-05
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Based on the multilevel interpolation theory, we constructed a meshless adaptive multiscale interpolation operator (MAMIO) with the radial basis function.
Using this operator, any nonlinear partial differential equations such as Burgers equation can be discretized adaptively in physical spaces as a nonlinear matrix ordinary differential equation.
In order to obtain the analytical solution of the system of ODEs, the homotopy analysis method (HAM) proposed by Shijun Liao was developed to solve the system of ODEs by combining the precise integration method (PIM) which can be employed to get the analytical solution of linear system of ODEs.
The numerical experiences show that HAM is not sensitive to the time step, and so the arithmetic error is mainly derived from the discrete in physical space.
American Psychological Association (APA)
Mei, Shu-Li. 2013. HAM-Based Adaptive Multiscale Meshless Method for Burgers Equation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-457176
Modern Language Association (MLA)
Mei, Shu-Li. HAM-Based Adaptive Multiscale Meshless Method for Burgers Equation. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-457176
American Medical Association (AMA)
Mei, Shu-Li. HAM-Based Adaptive Multiscale Meshless Method for Burgers Equation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-457176
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457176