A comparison between the variational iteration method and Adomian decomposition method
Journal of Computational and Applied Mathematics
He's parameter-expanding methods for strongly nonlinear oscillators
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Exact solutions of nonlinear diffusion equations by variational iteration method
Computers & Mathematics with Applications
Application of He's methods to nonlinear chemistry problems
Computers & Mathematics with Applications
Axisymmetric flow due to a stretching sheet with partial slip
Computers & Mathematics with Applications
Computers & Mathematics with Applications
The three-dimensional flow past a stretching sheet and the homotopy perturbation method
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Variational iteration method and homotopy perturbation method for nonlinear evolution equations
Computers & Mathematics with Applications
Application of He's semi-inverse method to the nonlinear Schrödinger equation
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
Approximate analytical solutions of systems of PDEs by homotopy analysis method
Computers & Mathematics with Applications
Homotopy perturbation method for solving hyperbolic partial differential equations
Computers & Mathematics with Applications
Exact solutions for nonlinear integral equations by a modified homotopy perturbation method
Computers & Mathematics with Applications
Comparison between Adomian's method and He's homotopy perturbation method
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Simulation of micropolar fluid flow in a vertical channel using homotopy-perturbation method
ACC'08 Proceedings of the WSEAS International Conference on Applied Computing Conference
Computers & Mathematics with Applications
Application of He's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Imposing boundary conditions in Sinc method using highest derivative approximation
Journal of Computational and Applied Mathematics
Homotopy perturbation method for the Jumbo-Miwa equation
EC'09 Proceedings of the 10th WSEAS international conference on evolutionary computing
Computers & Mathematics with Applications
Finding general and explicit solutions of high nonlinear equations by the Exp-Function method
Computers & Mathematics with Applications
Study of convergence of homotopy perturbation method for systems of partial differential equations
Computers & Mathematics with Applications
An improvement to homotopy perturbation method for solving system of linear equations
Computers & Mathematics with Applications
Approximate solution of a mixed nonlinear stochastic oscillator
Computers & Mathematics with Applications
Torsional flow of third grade fluid using modified homotopy perturbation method
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Extended homotopy perturbation method and computation of flow past a stretching sheet
Computers & Mathematics with Applications
Periodic solutions for some strongly nonlinear oscillations by He's energy balance method
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
New perturbation-iteration solutions for Bratu-type equations
Computers & Mathematics with Applications
Computers & Mathematics with Applications
The homotopy Wiener-Hermite expansion and perturbation technique (WHEP)
Transactions on computational science I
Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water
Advances in Engineering Software
Comparing numerical methods for response of beams with moving mass
Advances in Engineering Software
Computers & Mathematics with Applications
On nonlinear fractional Klein-Gordon equation
Signal Processing
Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity
Transactions on computational science VII
Journal of Computational and Applied Mathematics
The optimal solution for the flow of a fourth-grade fluid with partial slip
Computers & Mathematics with Applications
Series solution of a nonlinear ODE arising in magnetohydrodynamic by HPM-Padé technique
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Choice of an optimal initial solution for a wave equation in the variational iteration method
Computers & Mathematics with Applications
Homotopy perturbation transform method for nonlinear equations using He's polynomials
Computers & Mathematics with Applications
Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
A new modification of the HPM for the duffing equation with cubic nonlinearity
ICACM'11 Proceedings of the 2011 international conference on Applied & computational mathematics
Information Sciences: an International Journal
Solution of the Falkner-Skan wedge flow by HPM-Pade' method
Advances in Engineering Software
A new algebraic-based geometric constraint solving approach: path tracking homotopy iteration method
CIS'04 Proceedings of the First international conference on Computational and Information Science
Numerical approximations to integrals with a highly oscillatory Bessel kernel
Applied Numerical Mathematics
Mathematical and Computer Modelling: An International Journal
A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Solution of delay differential equations via a homotopy perturbation method
Mathematical and Computer Modelling: An International Journal
Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation
Mathematical and Computer Modelling: An International Journal
Solving a system of integral equations by an analytic method
Mathematical and Computer Modelling: An International Journal
Journal of Computational and Applied Mathematics
Approximation for transient of nonlinear circuits using RHPM and BPES methods
Journal of Electrical and Computer Engineering
Journal of Computational and Applied Mathematics
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In this paper, a new perturbation method is proposed. In contrast to the traditional perturbation methods, this technique does not require a small parameter in an equation. In this method, according to the homotopy technique, a homotopy with an imbedding parameter p ∈ [0, 1] is constructed, and the imbedding parameter is considered as a "small parameter", so the method is called the homotopy perturbation method, which can take the full advantages of the traditional perturbation methods and homotopy techniques. To illustrate its effectiveness and its convenience, a Duffing equation with high order of nonlinearity is used; the result reveals that its first order of approximation obtained by the proposed method is valid uniformly even for very large parameter, and is more accurate than the perturbation solutions.