Results 51 to 60 of about 2,716 (179)
Combinatorial zeta functions counting triangles
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard +3 more
wiley +1 more source
Convergent Homotopy Analysis Method for Solving Linear Systems
Advances in Numerical Analysis, 2013 By using homotopy analysis method (HAM), we introduce an iterative method for solving linear systems. This method (HAM) can be used to accelerate the convergence of the basic iterative methods. We also show that by applying HAM to a divergent iterative scheme, it is possible to construct a convergent homotopy-series solution when the iteration matrix G
Hamideh Nasabzadeh, Faezeh Toutounian
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Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 3, May/June 2026.ABSTRACT This paper presents a comprehensive numerical analysis of magnetohydrodynamic (MHD) Casson nanofluid movement over a permeable, linearly stretching sheet, integrating the contributions of non‐uniform heat generation or absorption and chemical interaction.
Manoj Kumar Sahoo +3 more
wiley +1 more source
Metasurfaces and Metadevices for Topological Electromagnetic Waves
Advanced Physics Research, Volume 5, Issue 5, May 2026.Optical topologies refer to diverse topological localized structures made by diverse parameters of light fields, such as vortices, skyrmions, and hopfions. This article navigates a direction of metasurface‐based integrated devices for generation, manipulation and detection of novel topologies of light, which would be a rapidly growing interdisciplinary
Rensheng Xie +3 more
wiley +1 more source
Homotopy Analysis Method for the Time-Fractional Boussinesq Equation
Universal Journal of Mathematics and Applications, 2020 In this paper, the exact and approximate analytical solutions to the time-fractional Boussinesq equation are constructed using the homotopy analysis method. Several examples about the fourth-order and sixth-order time-fractional Boussinesq equations show
He Yang
doaj +1 more source
Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley +1 more source
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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Kuramoto Model on Sierpinski Gasket I: Harmonic Maps
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
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Singularly perturbed homotopy analysis method
Applied Mathematical Modelling, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nave, Ophir +2 more
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Application of homotopy analysis method for solving nonlinear Cauchy problem [PDF]
Surveys in Mathematics and its Applications, 2012 In this paper, by means of the homotopy analysis method (HAM), the solutions of some nonlinear Cauchy problem of parabolic-hyperbolic type are exactly obtained in the form of convergent Taylor series.
V.G. Gupta, Sumit Gupta
doaj