He-Laplace method for linear and nonlinear partial differential equations

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 hes polynomials. the nonlinear terms can be easily handled by the use of hes 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. copyright © 2012 hradyesh kumar mishra and atulya k. nagar.