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Fractional-order modeling of vaccination strategies for measles transmission incorporating immune memory. [PDF]
Yunus AO, Olanrewaju OA.
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Comparison of homotopy perturbation method and homotopy analysis method
Applied Mathematics and Computation, 2004zbMATH 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, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homotopy perturbation method with three expansions
Journal of Mathematical Chemistry, 2021The 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, 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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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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Homotopy perturbation method for Fangzhu oscillator
Journal of Mathematical Chemistry, 2020zbMATH 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, 2007zbMATH 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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