Wavelet-Based Homotopy Analysis Method for Nonlinear Matrix System and Its Application in Burgers Equation
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-25
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
To generalize the homotopy analysis method (HAM) to multidegree-of-freedom nonlinear system, the adaptive precise integration method (APIM) is introduced into the HAM, with which the almost exact value of the exponential matrix can be obtained.
Combining the interval interpolation wavelet collocation method, HAM-based APIM can be employed to solve the nonlinear PDEs.
As an example, Burgers equation is spatially discretized by the interval quasi-Shannon wavelet collocation method and solved by the proposed method to illustrate the effectiveness and great potential of the homotopy analysis method in nonlinear problems.
American Psychological Association (APA)
Ruyi, Xing. 2013. Wavelet-Based Homotopy Analysis Method for Nonlinear Matrix System and Its Application in Burgers Equation. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1011389
Modern Language Association (MLA)
Ruyi, Xing. Wavelet-Based Homotopy Analysis Method for Nonlinear Matrix System and Its Application in Burgers Equation. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1011389
American Medical Association (AMA)
Ruyi, Xing. Wavelet-Based Homotopy Analysis Method for Nonlinear Matrix System and Its Application in Burgers Equation. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1011389
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011389