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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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An optimal variational iteration method
Applied Mathematics Letters, 2011 AbstractThe variational iteration method is studied in the present work. The classical variational iteration method is improved and extended by introducing a new concept of a convergence accelerating parameter. A rigorous approach is later proposed for optimally determining the value of the convergence accelerating parameter.
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On the convergence of the variational iteration method
Journal 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
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Variational iteration method: New development and applications
Computers and Mathematics With Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji-Huan He
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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 +2 more
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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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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 +3 more
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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 +4 more
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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 +3 more
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On variational iterative methods for semilinear problems [PDF]
Computers & Mathematics with Applications, 2020 This paper presents an iterative method suitable for inverting semilinear problems which are important kernels in many numerical applications. The primary idea is to employ a parametrization that is able to reduce semilinear problems into linear systems which are solvable using fast Poisson solvers. Theoretical justifications are provided and supported
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