Results 181 to 190 of about 3,488 (215)
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The homotopy perturbation method for nonlinear oscillators with discontinuities
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homotopy perturbation method for fractional KdV equation
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convergence of the Homotopy Perturbation Method [PDF]
International Journal of Nonlinear Sciences and Numerical Simulation, 2011 The present paper is devoted to the analysis of the homotopy perturbation method. The question of convergence of the method is resolved. It is theoretically proven that under a special constraint the homotopy perturbation method converges to the exact ...
M. Turkyilmazoglu,, Turkyilmazoglu, M.
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Comparison of Homotopy Perturbation Method with New Homotopy Perturbation Method
SSRN Electronic Journal, 2019In 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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Homotopy perturbation method for strongly nonlinear oscillators
Mathematics and Computers in Simulation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji-Huan He +3 more
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International Journal of Computer Mathematics, 2010
In this paper, the approximate analytical solutions of the mathematical model of vibration equation with fractional-order time derivative β ...
Subir Das, Praveen Kumar Gupta
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In this paper, the approximate analytical solutions of the mathematical model of vibration equation with fractional-order time derivative β ...
Subir Das, Praveen Kumar Gupta
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Solving variational problems by homotopy–perturbation method
International Journal for Numerical Methods in Engineering, 2008AbstractIn 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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Comparison between the homotopy analysis method and homotopy perturbation method
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Optimal Homotopy Perturbation Method
2011An 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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A new modification of the homotopy perturbation method
Noise & Vibration Worldwide, 2021This study proposes a new modification of the homotopy perturbation method. A new parameter alpha is introduced into the homotopy equation in order to improve the results and accuracy. An optimal analysis identifies the parameter alpha, aimed at improving the solutions.
Magaji Yunbunga Adamu, Peter Ogenyi
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