Results 61 to 70 of about 4,171 (232)
SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD [PDF]
Iranian Journal of Optimization, 2010 In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy
H. Jafari, M. Saeidy, M. Arab Firoozjaee
doaj
Advances in Mechanical Engineering, 2017 In this article, dynamical analysis of fractional order Schrödinger equation governing the optical wave propagation is reported in detail. The validity criteria for the application of the semi-analytic asymptotic methods are exploited. Comparison between
Sarmad Arshad +4 more
doaj +1 more source
Dynamic Preference for Autonomous Driving: A Deep Reinforcement Learning Approach
IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.We deal with the challenge of incorporating dynamic passenger preferences into AD using DRL. We propose an innovative DRL method that first leverages prior knowledge to reduce the preference space which can speed up training process. Then we apply homotopy optimization to make DRL optimization problem gradually transition from non‐preference to dynamic
Jun Gu +6 more
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Abstract and Applied Analysis, 2012 We introduce two powerful methods to solve the generalized Zakharov equations; one is the homotopy perturbation method and the other is the homotopy analysis method.
Hassan A. Zedan, Eman El Adrous
doaj +1 more source
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
wiley +1 more source
SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD [PDF]
Iranian Journal of Optimization, 2009 In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy
H. Jafari, M. Saeidy, M. Arab Firoozjaee
doaj
On contact 3‐manifolds that admit a nonfree toric action
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
wiley +1 more source
Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method [PDF]
Iranian Journal of Optimization, 2013 In this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered.
H. Saberi-Nik, S. Effati, R. Buzhabadi
doaj
Differential Equations and Nonlinear Mechanics, 2008 The homotopy analysis method (HAM) is applied to obtain the approximate traveling wave solutions of the coupled Whitham-Broer-Kaup (WBK) equations in shallow water. Comparisons are made between the results of the proposed method and exact solutions.
M. M. Rashidi, D. D. Ganji, S. Dinarvand
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Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source