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 Calculation for the Equation of State of Nuclear Matter at Finite Temperatures [PDF]
, 2007 An equation of state (EOS) for uniform nuclear matter is constructed at zero and finite temperatures with the variational method starting from the realistic nuclear Hamiltonian composed of the Argonne V18 and UIX potentials.
Akmal +20 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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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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Solution to the 3-Loop $\Phi$-Derivable Approximation for Massless Scalar Thermodynamics [PDF]
, 2001 We develop a systematic method for solving the 3-loop $\Phi$-derivable approximation to the thermodynamics of the massless $\phi^4$ field theory. The method involves expanding sum-integrals in powers of $g^2$ and m/T, where g is the coupling constant, m ...
A. Peshier +31 more
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Multivariate Variational Mode Decomposition [PDF]
IEEE Transactions on Signal Processing, 2019 We present a generic extension of variational mode decomposition (VMD) algorithm to multivariate or multichannel data. The proposed method utilizes a model for multivariate modulated oscillations that is based on the presence of a joint or common ...
N. Rehman, Hania Aftab
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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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Laplace transform: Making the variational iteration method easier
Applied Mathematics Letters, 2019 The identification of the Lagrange multiplier plays an import rule in the variational iteration method, and the variational theory is widely used for this purpose.
N. Anjum, Ji-Huan He
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Low-temperature excitations within the Bethe approximation [PDF]
, 2013 We propose the variational quantum cavity method to construct a minimal energy subspace of wave vectors that are used to obtain some upper bounds for the energy cost of the low-temperature excitations. Given a trial wave function we use the cavity method
Biazzo, I., Ramezanpour, A.
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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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