Results 41 to 50 of about 16,217 (190)
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method
Applied Mathematics, 2018 In this paper, comparison of homotopy perturbation method (HPM) and homotopy perturbation transform method (HPTM) is made, revealing that homotopy perturbation transform method is very fast convergent to the solution of the partial differential equation. For illustration and more explanation of the idea, some examples are provided.
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Numerical simulation of fifth order KdV equations occurring in magneto-acoustic waves
Ain Shams Engineering Journal, 2018 In this work, we aim to apply a numerical approach based on Homotopy perturbation transform method (HPTM) for derive the exact and approximate solutions of nonlinear fifth order KdV equations for study magneto-acoustic waves in plasma.
Amit Goswami +2 more
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A new modification of the homotopy perturbation method [PDF]
, 2010 In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method
Abu Bakar, Mohd Rizam +4 more
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International Journal for Numerical Methods in Fluids, EarlyView.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
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Iterative Approximate Solutions of Kinetic Equations for Reversible Enzyme Reactions [PDF]
, 2013 We study kinetic models of reversible enzyme reactions and compare two techniques for analytic approximate solutions of the model. Analytic approximate solutions of non-linear reaction equations for reversible enzyme reactions are calculated using the ...
Khoshnaw, S.
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Comparison between Adomian’s method and He’s homotopy perturbation method
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Öziş T., Yildirim A.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
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Embedding Optimization of Layouts via Distortion Minimization
Computer Graphics Forum, EarlyView.Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
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Fractional View Analysis of Acoustic Wave Equations, Using Fractional-Order Differential Equations
Applied Sciences, 2020 In the present research work, a newly developed technique which is known as variational homotopy perturbation transform method is implemented to solve fractional-order acoustic wave equations.
Izaz Ali +5 more
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