Journal of Applied Mathematics
Volume 2012 (2012), Article ID 180315, 16 pages
Research Article

He-Laplace Method for Linear and Nonlinear Partial Differential Equations

1Department of Mathematics, Jaypee University of Engineering & Technology, Guna 473226, India
2Department of Mathematics and Computer Science, Liverpool Hope University, Liverpool L16 9JD, UK

Received 9 May 2012; Accepted 11 June 2012

Academic Editor: Alfredo Bellen

Copyright © 2012 Hradyesh Kumar Mishra and Atulya K. Nagar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.