Modified HPMs Inspired by Homotopy Continuation Methods
Joint Authors
Sarmiento-Reyes, Arturo
Filobello-Niño, Uriel
Vazquez-Leal, Hector
Castañeda-Sheissa, Roberto
Hernandez-Martinez, Luis
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-13
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Nonlinear differential equations have applications in the modelling area for a broad variety of phenomena and physical processes; having applications for all areas in science and engineering.
At the present time, the homotopy perturbation method (HPM) is amply used to solve in an approximate or exact manner such nonlinear differential equations.
This method has found wide acceptance for its versatility and ease of use.
The origin of the HPM is found in the coupling of homotopy methods with perturbation methods.
Homotopy methods are a well established research area with applications, in particular, an applied branch of such methods are the homotopy continuation methods, which are employed on the numerical solution of nonlinear algebraic equation systems.
Therefore, this paper presents two modified versions of standard HPM method inspired in homotopy continuation methods.
Both modified HPMs deal with nonlinearities distribution of the nonlinear differential equation.
Besides, we will use a calcium-induced calcium released mechanism model as study case to test the proposed techniques.
Finally, results will be discussed and possible research lines will be proposed using this work as a starting point.
American Psychological Association (APA)
Vazquez-Leal, Hector& Filobello-Niño, Uriel& Castañeda-Sheissa, Roberto& Hernandez-Martinez, Luis& Sarmiento-Reyes, Arturo. 2012. Modified HPMs Inspired by Homotopy Continuation Methods. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1001492
Modern Language Association (MLA)
Vazquez-Leal, Hector…[et al.]. Modified HPMs Inspired by Homotopy Continuation Methods. Mathematical Problems in Engineering No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-1001492
American Medical Association (AMA)
Vazquez-Leal, Hector& Filobello-Niño, Uriel& Castañeda-Sheissa, Roberto& Hernandez-Martinez, Luis& Sarmiento-Reyes, Arturo. Modified HPMs Inspired by Homotopy Continuation Methods. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1001492
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001492