Open Access
Translator Disclaimer
2012 He-Laplace Method for Linear and Nonlinear Partial Differential Equations
Hradyesh Kumar Mishra, Atulya K. Nagar
J. Appl. Math. 2012: 1-16 (2012). DOI: 10.1155/2012/180315


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.


Download Citation

Hradyesh Kumar Mishra. Atulya K. Nagar. "He-Laplace Method for Linear and Nonlinear Partial Differential Equations." J. Appl. Math. 2012 1 - 16, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1251.65146
MathSciNet: MR2948169
Digital Object Identifier: 10.1155/2012/180315

Rights: Copyright © 2012 Hindawi


Vol.2012 • 2012
Back to Top