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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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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An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 In this paper, we apply He's variational iteration method (VIM) and the Adomian decomposition method (ADM) to approximate the solution of Duffing-Van Der Pol equation (DVP).
Ann Al-Sawoor, Merna Samarchi
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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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Further validation to the variational method to obtain flow relations for generalized Newtonian fluids [PDF]
, 2015 We continue our investigation to the use of the variational method to derive flow relations for generalized Newtonian fluids in confined geometries.
Sochi, Taha
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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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A field theoretic approach to master equations and a variational method beyond the Poisson ansatz
, 2007 We develop a variational scheme in a field theoretic approach to a stochastic process. While various stochastic processes can be expressed using master equations, in general it is difficult to solve the master equations exactly, and it is also hard to ...
Dickman R +10 more
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Long-Run Accuracy of Variational Integrators in the Stochastic Context [PDF]
, 2010 This paper presents a Lie-Trotter splitting for inertial Langevin equations (Geometric Langevin Algorithm) and analyzes its long-time statistical properties. The splitting is defined as a composition of a variational integrator with an Ornstein-Uhlenbeck
Bou-Rabee N. +3 more
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Black Box Variational Inference [PDF]
, 2013 Variational inference has become a widely used method to approximate posteriors in complex latent variables models. However, deriving a variational inference algorithm generally requires significant model-specific analysis, and these efforts can hinder ...
Blei, David M. +2 more
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Stochastic Variational Approach to Minimum Uncertainty States [PDF]
, 1995 We introduce a new variational characterization of Gaussian diffusion processes as minimum uncertainty states. We then define a variational method constrained by kinematics of diffusions and Schr\"{o}dinger dynamics to seek states of local minimum ...
Illuminati, F., Viola, L.
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