Journal of Applied Mathematics

He-Laplace Method for Linear and Nonlinear Partial Differential Equations

Hradyesh Kumar Mishra and Atulya K. Nagar

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 180315, 16 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495218

Digital Object Identifier
doi:10.1155/2012/180315

Mathematical Reviews number (MathSciNet)
MR2948169

Zentralblatt MATH identifier
1251.65146

Citation

Kumar Mishra, Hradyesh; Nagar, Atulya K. He-Laplace Method for Linear and Nonlinear Partial Differential Equations. J. Appl. Math. 2012 (2012), Article ID 180315, 16 pages. doi:10.1155/2012/180315. https://projecteuclid.org/euclid.jam/1355495218


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