Results 61 to 70 of about 3,506 (170)

Hofer-Zehnder capacity and length minimizing Hamiltonian paths

, 2001
We use the criteria of Lalonde and McDuff to show that a path that is generated by a generic autonomous Hamiltonian is length minimizing with respect to the Hofer norm among all homotopic paths provided that it induces no non-constant closed trajectories
Dusa McDuff, Floer, Hofer, Hofer, Jennifer Slimowitz, Liu, McDuff, McDuff, McDuff, McDuff, Piunikhin, Polterovich, Polterovich, Schwarz, Siegel   +14 more
core   +2 more sources

Impact of Temperature Variability on the Caputo Fractional Malaria Model

Engineering Reports, Volume 7, Issue 3, March 2025.
This study aims to analyze the age related characteristics of malaria in human host by exploring Caputo fractional order models with temperature variability, that is looked into the combined effects of fractional order and temperature variability on malaria dynamics.
Dawit Kechine Menbiko, Chernet Tuge Deressa   +1 more
wiley   +1 more source

Homotopy Analysis Method and Physics-Informed Neural Networks for Solving Volterra Integral Equations with Discontinuous Kernels

Axioms
This paper addresses first- and second-kind Volterra integral equations (VIEs) with discontinuous kernels. A hybrid method combining the Homotopy Analysis Method (HAM) and Physics-Informed Neural Networks (PINNs) is developed.
Samad Noeiaghdam, Md Asadujjaman Miah, Sanda Micula   +2 more
doaj   +1 more source

Optimal solution of nonlinear heat and mass transfer in a two-layer flow with nano-Eyring–Powell fluid

Results in Physics, 2015
This paper deals with the fully-developed two-layer Eyring–Powell fluid in a vertical channel divided into two equal regions. One region is filled with the clear Eyring–Powell fluid and other with the nano-Eyring–Powell fluid.
Najeeb Alam Khan, Faqiha Sultan, Qammar Rubbab   +2 more
doaj   +1 more source

Fractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Jaume Giné   +4 more
wiley   +1 more source

Approximate solutions of general perturbed KdV-Burgers equations

Electronic Journal of Differential Equations, 2014
In this article, we present some approximate analytical solutions to the general perturbed KdV-Burgers equation with nonlinear terms of any order by applying the homotopy analysis method (HAM). While compared with the Adomain decomposition method (ADM)
Baojian Hong, Dianchen Lu
doaj  

Finding the Exact Solution of Special Nonlinear Partial Differential Equations by Homotopy Analysis Method

Walailak Journal of Science and Technology, 2013
In this paper, the homotopy analysis method was used to solve nonlinear parabolic-hyperbolic partial differential equations. Examples are presented here to show the usability of the method for such equations.
Mashallah MATINFAR, Mohammad SAEIDY, Yasir KHAN, Behzad GHARAHSUFLU   +3 more
doaj   +1 more source

Lectures on Groups of Symplectomorphisms [PDF]

, 2003
These notes combine material from short lecture courses given in Paris, France, in July 2001 and in Srni, the Czech Republic, in January 2003. They discuss groups of symplectomorphisms of closed symplectic manifolds (M,\om) from various points of view ...
McDuff, Dusa
core   +1 more source

Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study explores the impact of Soret and Dufour effects on an magnetohydrodynamics (MHD) variable‐viscosity Casson nanofluid over a stretching sheet with heat generation and absorption. The Buongiorno model is employed to incorporate nanoparticle properties such as Brownian motion and thermophoresis.
Hundasa Chala Nagari, Mitiku Daba Firdi, Ebba Hindebu Rikitu, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Homotopy Analysis and Pade´ Methods for Solving Two Nonlinear Equations

Journal of Mathematical Extension, 2011
In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPad´eM).
A. Golbabai, H. Kheiri, D. Ahmadian
doaj