Results 151 to 160 of about 16,217 (190)

Comparison of homotopy perturbation method and homotopy analysis method

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji-Huan He
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Asymptotology by homotopy perturbation method

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homotopy perturbation method with three expansions

Journal of Mathematical Chemistry, 2021
The authors suggest the homotopy perturbation method with three expansions to solve nonlinear oscillator problems with damping terms. They solve the Duffing equation with linear damping to explain the homotopy method with three expansions. In addition to the homotopy perturbation method they add the amplitude expanding method. The solutions obtained by
Ji-Huan He, Yusry O. El-Dib
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Comparison of Homotopy Perturbation Method with New Homotopy Perturbation Method

SSRN Electronic Journal, 2019
In this article, a new homotopy technique is presented for the mathematical analysis of finding the solution of partial differential equation and we compare the decision of using NHPM with those using HPM to view the efficacy and advantageousness of the new capability.
Monika Dhariwal, Nahid Fatima
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Solving variational problems by homotopy–perturbation method

International Journal for Numerical Methods in Engineering, 2008
AbstractIn this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms.
Abdulaziz, O.   +2 more
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Homotopy perturbation method for Fangzhu oscillator

Journal of Mathematical Chemistry, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji-Huan He, Yusry O. El-Dib
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Integration using He’s homotopy perturbation method

Chaos, Solitons & Fractals, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Optimal Homotopy Perturbation Method

2011
An effective and convenient mathematical tool for nonlinear differential equations is the homotopy perturbation method, a combination of the classical perturbation method and the homotopy technique. This method, proposed by J.H. He in 1998 [30, 40, 115, 138, 139], does not require a small parameter in the equation in contrast to the traditional ...
Vasile Marinca, Nicolae Herisanu
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