Solutions of (2+1)-D & (3+1)-D Burgers Equations by New Laplace Variational Iteration Technique
Axioms, 2023 The new Laplace variational iterative method is used in this research for solving the (2+1)-D and (3+1)-D Burgers equations. This technique relies on the modified variational iteration method and the Laplace transform.
Gurpreet Singh +4 more
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Numerical analysis of a relaxed variational model of hysteresis in two-phase solids [PDF]
, 2001 This paper presents the numerical analysis for a variational formulation of rate-independent phase transformations in elastic solids due to Mielke et al.
Carstensen, Carsten +3 more
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Variational Methods in Convex Analysis [PDF]
Journal of Global Optimization, 2006 The authors use variational arguments, namely minimization arguments and decoupling mechanisms, to derive some fundamental theorems in convex analysis. Many important result in linear functional analysis can then be deduced as special cases.
Jonathan M. Borwein, Qiji J. Zhu
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Performance comparison between maximum likelihood estimation and variational method for estimating simple linear regression parameter [PDF]
ITM Web of ConferencesVariational estimation method is a deterministic approximation technique which involves Bayesian framework while giving a point estimate instead of the usual Bayesian interval estimation. The linear regression model, which has always been a popular model,
Widyaningsih Yekti +2 more
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Different Groups of Variational Principles for Whitham-Broer-Kaup Equations in Shallow Water [PDF]
Journal of Applied and Computational Mechanics, 2020 Because the variational theory is the theoretical basis for many kinds of analytical or numerical methods, it is an essential but difficult task to seek explicit functional formulations whose extrema are sought by the nonlinear and complex models. By the
Xiao-Qun Cao +4 more
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Variational semi-blind sparse deconvolution with orthogonal kernel bases and its application to MRFM [PDF]
, 2014 We present a variational Bayesian method of joint image reconstruction and point spread function (PSF) estimation when the PSF of the imaging device is only partially known.
Se Un Parka +5 more
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Exact analytical solution of tempered fractional heat-like (diffusion) equations by the modified variational iteration method [PDF]
Journal of Mahani Mathematical Research This paper introduces a modified version of the Variational Iteration Method, incorporating $\mathbb{P}$-transformation. We propose a novel semi-analytical technique named the modified variational iteration method for addressing fractional ...
Mohammad Hossein Akrami +2 more
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Crystalline variational methods [PDF]
Proceedings of the National Academy of Sciences, 2002 A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies.
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Variational Methods for Normal Integration [PDF]
Journal of Mathematical Imaging and Vision, 2017 The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, photometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image processing, we study in this paper several variational approaches for normal integration, with a focus on non-rectangular
Yvain Quéau +2 more
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Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems
Abstract and Applied Analysis, 2012 A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems.
Yanqin Liu
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