Homotopy perturbation method: a new nonlinear analytical technique
Applied Mathematics and Computation
A comparison between the variational iteration method and Adomian decomposition method
Journal of Computational and Applied Mathematics
Variational iteration method: New development and applications
Computers & Mathematics with Applications
He's homotopy perturbation method for a boundary layer equation in unbounded domain
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
A new modification of the variational iteration method
Computers & Mathematics with Applications
Global dynamics of vector-borne diseases with horizontal transmission in host population
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
MMES'11/DEEE'11/COMATIA'11 Proceedings of the 2nd international conference on Mathematical Models for Engineering Science, and proceedings of the 2nd international conference on Development, Energy, Environment, Economics, and proceedings of the 2nd international conference on Communication and Management in Technological Innovation and Academic Globalization
An Algorithm for Solving Nonlinear Differential-Difference Models
Computational Mathematics and Modeling
International Journal of Computing Science and Mathematics
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In this paper, a combined form of the Laplace transform method with the homotopy perturbation method is proposed to solve nonlinear equations. This method is called the homotopy perturbation transform method (HPTM). The nonlinear terms can be easily handled by the use of He's polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that the proposed technique solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this algorithm over the decomposition method.