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A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises [PDF]

open access: yesSensors, 2018
Blurred image restoration poses a great challenge under the non-Gaussian noise environments in various communication systems. In order to restore images from blur and alpha-stable noise while also preserving their edges, this paper proposes a variational
Zhenzhen Yang, Zhen Yang, Guan Gui
doaj   +2 more sources

Variational homotopy perturbation method for solving systems of homogeneous linear and nonlinear partial differential equations

open access: yesDesimal, 2021
The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations ...
Atika Faradilla   +3 more
doaj   +1 more source

Variational Estimation Methods for Sturm–Liouville Problems

open access: yesMathematics, 2022
In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
doaj   +1 more source

Combined variational iteration method with chebyshev wavelet for the solution of convection-diffusion-reaction problem

open access: yesMehran University Research Journal of Engineering and Technology, 2023
The goal of the work is to solve the nonlinear convection-diffusion-reaction problem using the variational iteration method with the combination of the Chebyshev wavelet.
Muhammad Memon   +2 more
doaj   +1 more source

Exponential type duality for η-approximated variational problems [PDF]

open access: yesYugoslav Journal of Operations Research, 2020
In this article, we use the so-called η-approximation method for solving a new class of nonconvex variational problems with exponential (p, r)-invex functionals.
Jha Shalini, Das Prasun, Antczak Tadeusz
doaj   +1 more source

Investigation into the Explicit Solutions of the Integrable (2+1)—Dimensional Maccari System via the Variational Approach

open access: yesAxioms, 2022
In this paper, the integrable (2+1)-dimensional Maccari system (MS), which can model many complex phenomena in hydrodynamics, plasma physics and nonlinear optics, is investigated by the variational approach (VA).
Kang-Jia Wang, Jing Si
doaj   +1 more source

Modified subgradient extragradient method for system of variational inclusion problem and finite family of variational inequalities problem in real Hilbert space

open access: yesJournal of Inequalities and Applications, 2021
For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
doaj   +1 more source

The Variational Iteration Transform Method for Solving the Time-Fractional Fornberg–Whitham Equation and Comparison with Decomposition Transform Method

open access: yesMathematics, 2021
In this article, modified techniques, namely the variational iteration transform and Shehu decomposition method, are implemented to achieve an approximate analytical solution for the time-fractional Fornberg–Whitham equation. A comparison is made between
Nehad Ali Shah   +4 more
doaj   +1 more source

Theory of variational quantum simulation [PDF]

open access: yesQuantum, 2019
The variational method is a versatile tool for classical simulation of a variety of quantum systems. Great efforts have recently been devoted to its extension to quantum computing for efficiently solving static many-body problems and simulating real and ...
Xiao Yuan   +4 more
doaj   +1 more source

Variational Iteration Transform Method for Fractional Differential Equations with Local Fractional Derivative

open access: yesAbstract and Applied Analysis, 2014
We propose the variational iteration transform method in the sense of local fractional derivative, which is derived from the coupling method of local fractional variational iteration method and differential transform method.
Yong-Ju Yang, Liu-Qing Hua
doaj   +1 more source

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