Results 21 to 30 of about 1,976 (86)
On the convergence of Homotopy perturbation method
, 2015 In many papers, Homotopy perturbation method has been presented as a method for solving non-linear equations of various kinds. Using Homotopy perturbation method, it is possible to find the exact solution or a closed approximate to the solution of the ...
Biazar, Jafar, Ayati, Zainab
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Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal +2 more
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Laplace transform-homotopy perturbation method as a powerful tool to solve nonlinear problems with boundary conditions defined on finite intervals [PDF]
, 2013 This article proposes Laplace transform-homotopy perturbation method (LTHPM) to solve nonlinear differential equations with Dirichlet, mixed, and Neumann boundary conditions.
ALEJANDRO DIAZ SANCHEZ
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Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
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Engineering Reports, Volume 8, Issue 2, February 2026.This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
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A general approach to the linear stability of viscoelastic shear‐flows
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
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Error estimations of Homotopy perturbation method for linear integral and integro-differential equations of the third kind [PDF]
, 2016 In this note, convex Homotopy perturbation method (HPM) is presented for the approximate solution of the linear Fredholm-Volterra integral and integro-differential equation.
Eshkuvatov, Zainidin K. +3 more
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Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.ABSTRACT In this paper, we propose a decompositional (phase‐wise split) approach to solve a two‐dimensional, two‐phase (solid and liquid, say), nonlinear inverse Stefan problem. The first step is to approximate the unknown moving boundary between the two phases and the Stefan condition on that boundary using the overspecified boundary and initial data ...
Gujji Murali Mohan Reddy +2 more
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Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method [PDF]
, 2014 The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations.
Bogdan Căruntu, Constantin Bota
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Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria +2 more
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