Results 81 to 90 of about 16,217 (190)
HE'S HOMOTOPY PERTURBATION METHOD FOR A GENERAL RICCATI EQUATION
International Journal of Modern Physics B, 2009 The factorization method of the Hamiltonian in quantum mechanics is used to solve a particular type of Riccati equation. In this paper, He's homotopy perturbation method is applied to a general Riccati equation. The obtained solutions are in recursive sequence forms and, in many cases, these solutions lead to an exact solution. This property generally
Ozis, Turgut, Agirseven, Deniz
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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
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An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform
Abstract and Applied Analysis, 2013 An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM).
Devendra Kumar +2 more
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Alexandria Engineering Journal, 2015 The aim of this paper was to present a user friendly numerical algorithm based on homotopy perturbation transform method for solving various linear and nonlinear convection-diffusion problems arising in physical phenomena where particles, energy, or ...
Sumit Gupta +2 more
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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Abstract and Applied Analysis, 2012 A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations.
Yanqin Liu
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Analytic study for fractional coupled Burger’s equations via Sumudu transform method
Nonlinear Engineering, 2018 In this work, we aim to apply a reliable analytic algorithm based on homotopy perturbation Sumudu transform method (HPSTM) to examine the nonlinear time-fractional coupled Burger’s equations.
Prakash Amit +3 more
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Fractional analysis of unsteady squeezing flow of Casson fluid via homotopy perturbation method. [PDF]
Sci Rep, 2022 Qayyum M +7 more
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New approach to parameterized homotopy perturbation method
Thermal Science, 2018 In this paper, new approach to parameterized homotopy perturbation method is presented to solve non-oscillatory problems. In contrast to the classical version of the homotopy method, optimal value of ? is identified and used to obtain approximate solutions.
Magaji Adamu, Peter Ogenyi
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Homotopy Perturbation Method for Solving Fokker-Planck Equation
مجلة علوم ذي قار, 2019 In this paper, linear and nonlinear Fokker-Planck equations and some similar equations by using homotopy perturbation method are solved. Some examples are solved by homotopy perturbation method to illustrate the simplicity and reliability of this method.
Jehan M. Khudhir
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