He-Laplace Method for Linear and Nonlinear Partial Differential Equations
Joint Authors
Nagar, Atulya K.
Kumar Mishra, Hradyesh
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-19
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A new treatment for homotopy perturbation method is introduced.
The new treatment is called He-Laplace method which is the coupling of the Laplace transform and the homotopy perturbation method using He’s polynomials.
The nonlinear terms can be easily handled by the use of He’s polynomials.
The method is implemented on linear and nonlinear partial differential equations.
It is found that the proposed scheme provides the solution without any discretization or restrictive assumptions and avoids the round-off errors.
American Psychological Association (APA)
Kumar Mishra, Hradyesh& Nagar, Atulya K.. 2012. He-Laplace Method for Linear and Nonlinear Partial Differential Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993009
Modern Language Association (MLA)
Kumar Mishra, Hradyesh& Nagar, Atulya K.. He-Laplace Method for Linear and Nonlinear Partial Differential Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-993009
American Medical Association (AMA)
Kumar Mishra, Hradyesh& Nagar, Atulya K.. He-Laplace Method for Linear and Nonlinear Partial Differential Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993009
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993009