Results 61 to 70 of about 2,716 (179)

Homotopy analysis transform method for solving Abel’s integral equations of the first kind

Ain Shams Engineering Journal, 2016
In this paper, by combined homotopy analysis method and Laplace transform method, we produce a new powerful method and named homotopy analysis transform method. By using this method, we solve first kind singular integral equations of Abel type. Also, the
Samad Noeiaghdam, Eisa Zarei, Hasan Barzegar Kelishami   +2 more
doaj   +1 more source

Stabilization of Poincaré duality complexes and homotopy gyrations

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
wiley   +1 more source

Numerical solution of time- and space-fractional coupled Burgers’ equations via homotopy algorithm

Alexandria Engineering Journal, 2016
In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis method with Laplace transform, namely q-homotopy analysis transform method to solve time- and space-fractional coupled Burgers’ equations.
Jagdev Singh, Devendra Kumar, Ram Swroop
doaj   +1 more source

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

On convergence of q-homotopy analysis method

International Journal of Contemporary Mathematical Sciences, 2013
The convergence of q- homotopy analysis method (q-HAM) is studied in the present paper. It is proven that under certain conditions the solution of the equation:
Magdy A. El-Tawil, Shaheed N. Huseen
openaire   +1 more source

On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations

Abstract and Applied Analysis, 2012
A modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations.
Z. Pashazadeh Atabakan, A. Kılıçman, A. Kazemi Nasab   +2 more
doaj   +1 more source

Halley Irrational-Homotopy Analysis Method

International Journal of Applied Mathematical Research, 2012
In this paper we investigate Halley irrational-homotopy analysis method as a new technique to find approximate solution of nonlinear equations, where complex and real roots are founded and in many cases we have two solutions. The Halley’s irrational formula developed to determine the auxiliary (arbitrary) parameter in HAM.
Amal Shalouf, Mohd Salmi Noorani
openaire   +2 more sources

Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) [PDF]

Computational Ecology and Software, 2014
In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV ...
Hafiz Abdul Wahab, Tahir Khan, Muhammad Shakil, et al.   +2 more
doaj  

New Applications of the Homotopy Analysis Method

Zeitschrift für Naturforschung A, 2008
An analytical technique, namely the homotopy analysis method (HAM), is applied using a computerized symbolic computation to find the approximate and exact solutions of nonlinear evolution equations arising in mathematical physics. The HAM is a strong and easy to use analytic tool for nonlinear problems and does not need small parameters in the ...
Elsayed Abd Elaty Elwakil, Mohamed Aly Abdou   +1 more
openaire   +1 more source

Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method

Ain Shams Engineering Journal, 2018
In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband, Mohammad Ali Fariborzi Araghi   +1 more
doaj   +1 more source