THE VARIATIONAL ITERATION METHOD WHICH SHOULD BE FOLLOWED

By Ji-Huan He, Guo-cheng Wu, Francis R. Austin. 2010

343 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/56a91acf1b9d76feb65fbd4e856b800f16fd8c6c

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Citations in the corpus

Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations (2011, methodology): “Among these are the Adomian decomposition method (ADM) [8], He’s semi-inverse method [9], the tanh method, the homotopy perturbation method (HPM), the sinh–cosh method, the differential transform method and the variational iteration method (VIM) [10-17].”
A NEW FRACTAL DERIVATION (2011, unknown): “Though the fractional equations can be solved by various methods, such as the variational iteration method [2], the homotopy perturbation method [3], and the exp-function method[4], the solution procedure is not easy enough for an engineer to master it.”
Homotopy Analysis Sumudu Transform Method for Nonlinear Equations (2012, unknown): “[3,6,7,11,14,18,40], homotopy analysis method (HAM) [6,7,12,23,25,26,27,28,29,33], variational iteration method (VIM) [6,7,15,16,17,19], Laplace decomposition method (LDM) [20,24,37,41], homotopy perturbation transform method (HPTM) [22], homotopy perturbation sumudu transform method (HPSTM) [34] an”
Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations (2020, background): “[55,56], a more summarizing iteration formula can be made, known as variational iteration algorithm-II (VIA-II),”
A Tutorial Review on Fractal Spacetime and Fractional Calculus (2014, unknown): “we have three iteration algorithms [50, 51, 57]: Variational iteration algorithm-I:”
Analysis of a stage-structured predator-prey model with Crowley-Martin function (2011, methodology): “For example, one can consider the stability of equilibria of prey-predator system by using stability methods [8–10]; one can present the solution of the prey-predator problem by He’s parameterized perturbation methods [11]; one can investigate the fractional predator-prey models by using variational”
Fractional Complex Transform for Fractional Differential Equations (2010, methodology): “Many powerful methods for solving fractional differential equations were appeared in open literature, such as the variational iteration method [1,2], the homotopy perturbation method [3] and the expfunction method[4].”
Homotopy perturbation transform method for nonlinear equations using He's polynomials (2011, methodology): “Among these are the Adomian decompositionmethod (ADM) [8], He’s semi-inversemethod [9], the tanhmethod, the homotopy perturbation method (HPM), the sinh–cosh method, the differential transform method and the variational iteration method (VIM) [10–17].”
Sumudu Decomposition Method for Nonlinear Equations (2012, methodology): “Various powerful mathematical methods such as Adomian decomposition method (ADM) [1], homotopy perturbation method (HPM) [2], variational iteration method (VIM) [3, 4], Laplace decomposition method (LDM) [5, 6] and homotopy perturbation sumudu transform method (HPSTM) [7] have been proposed to obtai”