Results 31 to 40 of about 1,506 (219)
An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform
Abstract and Applied Analysis, 2013 An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM).
Devendra Kumar +2 more
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Journal of Mathematics, 2022 For the first time, we establish a new procedure by using the conformable Shehu transform (CST) and an iteration method for solving fractional-order Cauchy reaction-diffusion equations (CRDEs) in the sense of conformable derivative (CD).
Shahram Rezapour +2 more
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International Journal of Mathematical, Engineering and Management Sciences, 2023 In the present investigation, a new integral transform method (NITM) and the projected differential transform method (PDTM) are used to give an analytical solution to the time-fractional Klein-Gordon (TFKG) equation.
Manoj Singh
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Analytical solution of system of differential equations by variational iteration method
Bibechana, 2015 In this paper, Varitational Iteration Method using He’s Polynomials is used to construct the exact as well as approximate solutions of differential equations. From the obtained numerical results, it has been observed that this proposed technique is very
Jamshad Ahmed, Faizan Hussain
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Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform
Abstract and Applied Analysis, 2013 A user friendly algorithm based on new homotopy perturbation Sumudu transform method (HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional derivative is considered in the Caputo sense. Further, the same problem is solved
Jagdev Singh +2 more
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Analysis of fractional multi-dimensional Navier–Stokes equation
Advances in Difference Equations, 2021 In this paper, a hybrid method called variational iteration transform method has been implemented to solve fractional-order Navier–Stokes equation. Caputo operator describes fractional-order derivatives.
Yu-Ming Chu +3 more
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Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials”
Abstract 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
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Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables [PDF]
, 2014 The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. The approximate solutions with the nondifferentiable functions are obtained
Chen, Li +4 more
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Arab Journal of Basic and Applied Sciences, 2018 In the present work, we apply the variational iteration method using He’s polynomials (VIMHP) for solving four examples of the biological population model (BPM).
Mohamed Zellal, Kacem Belghaba
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Abstract and Applied Analysis, 2013 A novel modification of the variational iteration method is proposed by means of Laplace transform and homotopy perturbation method. The fractional lagrange multiplier is accurately determined by the Laplace transform and the nonlinear one can be easily ...
Yanqin Liu, Fengsheng Xu, Xiuling Yin
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