Results 61 to 70 of about 11,210,734 (170)
INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]
This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core
Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM) [PDF]
Computational Ecology and Software, 2016 The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems.
Hafiz Abdul Wahab +2 more
doaj
Homotopy Perturbation Method For Fractional Shallow Water Equations
Sultan Qaboos University Journal for Science, 2014 In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense.
Kamel Al-Khaled, M. K. Al-Safeen
doaj +1 more source
Circle packings, renormalizations, and subdivision rules
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley +1 more source
Some Applications of Homotopy Perturbation Method [PDF]
, 2015 In this thesis paper, I review the basic idea of Homotopy perturbation method (HPM), Modified Homotopy perturbation method (MHPM) and Homotopy perturbation transform method (HPTM).
Sahoo, Malika
core
Error estimations of Homotopy perturbation method for linear integral and integro-differential equations of the third kind [PDF]
, 2016 In this note, convex Homotopy perturbation method (HPM) is presented for the approximate solution of the linear Fredholm-Volterra integral and integro-differential equation.
Eshkuvatov, Zainidin K. +3 more
core +2 more sources
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
doaj +1 more source
Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 2, March/April 2026.ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool +3 more
wiley +1 more source
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
doaj +1 more source