Journal ArticleDOI
Application of He’s homotopy perturbation method for Laplace transform
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In this article, an application of He's homotopy perturbation method is proposed to compute Laplace transform and the results reveal that the method is very effective and simple.Abstract:
In this paper, an application of He’s homotopy perturbation method is proposed to compute Laplace transform. The results reveal that the method is very effective and simple.read more
Citations
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Some asymptotic methods for strongly nonlinear equations
TL;DR: In this paper, a survey of recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones, is presented.
Journal ArticleDOI
Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane
TL;DR: In this article, the authors analyzed the thin film flow problem with a third grade fluid on an inclined plane and solved the governing non-linear equation for the velocity field using the traditional perturbation technique as well as the recently introduced homotopy perturbing method and compared the results.
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On the coupling of the homotopy perturbation method and Laplace transformation
TL;DR: The approximate solutions obtained by means of LHPM in a wide range of the problem's domain were compared with those results obtained from the actual solutions, the Homotopy Perturbation Method (HPM) and the finite element method and shows a precise agreement between the results.
Journal ArticleDOI
Application of homotopy perturbation method in nonlinear heat conduction and convection equations
TL;DR: In this article, homotopy perturbation method is used to solve for the temperature distribution in a lumped system of combined convection-radiation and also a nonlinear equation of the steady conduction in a slab with variable thermal conductivity.
Journal ArticleDOI
Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
TL;DR: In this article, the authors applied the homotopy perturbation method to obtain analytic approximations of the nonlinear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder.
References
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Journal ArticleDOI
Homotopy perturbation technique
TL;DR: In this paper, the homotopy perturbation technique does not depend upon a small parameter in the equation and can be obtained uniformly valid not only for small parameters, but also for very large parameters.
Journal ArticleDOI
Homotopy perturbation method: a new nonlinear analytical technique
TL;DR: The result reveals that the 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.
Journal ArticleDOI
Approximate analytical solution for seepage flow with fractional derivatives in porous media
TL;DR: In this article, a variational iteration method is used to give approximate solutions of the problem of seepage flow in porous media with fractional derivatives, and the results show that the proposed iteration method, requiring no linearization or small perturbation is very effective and convenient.
Journal ArticleDOI
Homotopy Perturbation Method for Bifurcation of Nonlinear Problems
TL;DR: In this article, a simple homotopy is constructed by the modified Lindstedt-Poincare method, by the solution and the coefficient of linear term are expanded into series of the embedding parameter.
Journal ArticleDOI
Comparison of homotopy perturbation method and homotopy analysis method
TL;DR: Comparison of homotopy perturbation method (HPM) and Homotopy analysis method is made, revealing that the former is more powerful than the later.