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

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

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

Mehran 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, Khuda Bux Amur, Wajid Ali Shaikh   +2 more
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Semi-analytical solutions of three-dimensional (3D) coupled Burgers’ equations by new Laplace variational iteration method

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

Desimal, 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, Aang Nuryaman, Asmiati Asmiati, Dewi Rakhmatia Nur   +3 more
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The Variational Iteration Transform Method for Solving the Time-Fractional Fornberg–Whitham Equation and Comparison with Decomposition Transform Method

Mathematics, 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, Ioannis Dassios, Essam R. El-Zahar, Jae Dong Chung, Somaye Taherifar   +4 more
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Application of Variational Iterations Method for Studying Physically and Geometrically Nonlinear Kirchhoff Nanoplates: A Mathematical Justification

Axioms, 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, Leonid A. Kalutsky, Tatyana V. Yakovleva, Anton V. Krysko   +3 more
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Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

Journal 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, Aly R. Seadawy, Tufail A. Khan, Phatiphat Thounthong   +3 more
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Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative

Discrete Dynamics in Nature and Society, 2014
The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations. The local fractional Laplace variational iteration method is coupled by the local fractional variational iteration ...
Ai-Min Yang, Jie Li, H. M. Srivastava, Gong-Nan Xie, Xiao-Jun Yang   +4 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, Abbas Poya, Mohammad Ali Zirak   +2 more
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