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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

Variational Methods [PDF]

open access: yes, 2015
This contribution presents derivative-based methods for local sensitivity analysis, called Variational Sensitivity Analysis (VSA). If one defines an output called the response function, its sensitivity to inputs variations around a nominal value can be studied using derivative (gradient) information.
Nodet, Maelle, Vidard, Arthur
openaire   +3 more sources

Variational Integrators [PDF]

open access: yes, 2004
Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
core   +1 more source

Variational Time Integrators in Computational Solid Mechanics [PDF]

open access: yes, 2003
This thesis develops the theory and implementation of variational integrators for computational solid mechanics problems, and to some extent, for fluid mechanics problems as well.
Lew, Adrián José
core   +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 Methods for Nonsmooth Mechanics [PDF]

open access: yes, 2003
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
core   +1 more source

On a variation of Sands′ method [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
A subset of a finite additive abelian group G is a Z‐set if for all a ∈ G, na ∈ G for all n ∈ Z. The group G is called “Z‐good” if in every factorization G = A ⊕ B, where A and B are Z‐sets at least one factor is periodic. Otherwise G is called “Z‐bad.”The purpose of this paper is to investigate factorizations of finite ablian groups which arise from a
openaire   +3 more sources

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

Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

open access: yesJournal of Taibah University for Science, 2020
In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method ...
Hijaz Ahmad   +3 more
doaj   +1 more source

Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials”

open access: yesAbstract and Applied Analysis, 2012
Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He’s polynomials.
Ji-Huan He
doaj   +1 more source

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