Results 11 to 20 of about 87,409 (279)

Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation [PDF]

open access: yesThe Scientific World Journal, 2014
Based on He’s variational iteration method idea, we modified the fractional variational iteration method and applied it to construct some approximate solutions of the generalized time-space fractional Schrödinger equation (GFNLS).
Baojian Hong, Dianchen Lu
doaj   +2 more sources

On the convergence of the variational iteration method

open access: yesJournal of Numerical Analysis and Approximation Theory, 2016
Convergence results are stated for the variational iteration method applied to solve an initial value problem for a system of ordinary differential equations.
Ernest Scheiber
doaj   +5 more sources

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

Semi-analytical solutions of three-dimensional (3D) coupled Burgers’ equations by new Laplace variational iteration method

open access: yesPartial Differential Equations in Applied Mathematics, 2022
In this article, New Laplace variational iteration method (NLVIM), which is based upon the combination of Laplace transform and modified variational iteration is used to solve the three dimensional (3D) coupled Burgers’ equations.
Gurpreet Singh, Inderdeep Singh
doaj   +1 more source

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

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

Implicit Iterative Method for Hierarchical Variational Inequalities [PDF]

open access: yesJournal of Applied Mathematics, 2012
We introduce a new implicit iterative scheme with perturbation for finding the approximate solutions of a hierarchical variational inequality, that is, a variational inequality over the common fixed point set of a finite family of nonexpansive mappings. We establish some convergence theorems for the sequence generated by the proposed implicit iterative
Ceng, L.-C.   +3 more
openaire   +4 more sources

Application of Variational Iterations Method for Studying Physically and Geometrically Nonlinear Kirchhoff Nanoplates: A Mathematical Justification

open access: yesAxioms, 2023
We have proposed a development of the variational iteration method (VIM), or extended Kantorovich method, by studying physically nonlinear (FN) or geometrically nonlinear (GN) Kirchhoff nanoplates as an example. The modified couple stress theory was used
Aleksey D. Tebyakin   +3 more
doaj   +1 more source

Conformable variational iteration method

open access: yesNew Trends in Mathematical Science, 2017
In this study, we introduce the conformable variationaliteration method based on new defined fractional derivative called conformablefractional derivative. This new method is applied two fractional order ordinarydifferential equations. To see how the solutions of this method, linearhomogeneous and non-linear non-homogeneous fractional ordinary ...
ACAN, Omer   +3 more
openaire   +2 more sources

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

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