Results 61 to 70 of about 2,759 (180)

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
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

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
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

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

From points to complexes: A concept of unexpectedness for simplicial complexes

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract In 2018, Cook, Harbourne, Migliore, and Nagel introduced the concept of unexpected hypersurfaces, which connects the study of Lefschetz properties of Artinian algebras defined by powers of linear forms to a family of interpolation problems.
Thiago Holleben
wiley   +1 more source

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  

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

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

Convergence of the homotopy analysis method

, 2010
The homotopy analysis method is studied in the present paper. The question of convergence of the homotopy analysis method is resolved. It is proven that under a special constraint the homotopy analysis method does converge to the exact solution of the sought solution of nonlinear ordinary or partial differential equations.
openaire   +2 more sources