Results 11 to 20 of about 207 (194)
Nonlinear Engineering, 2020 In this paper, homotopy perturbation sumudu transform method (HPSTM) is proposed to solve fractional attractor one-dimensional Keller-Segel equations.
Sharma Dinkar +2 more
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A New Fractional Model of Nonlinear Shock Wave Equation Arising in Flow of Gases
Nonlinear Engineering, 2014 In this paper, we present a numerical algorithm based on new homotopy perturbation transform method (HPTM) to solve a time-fractional nonlinear shock wave equation which describes the flow of gases.
Singh Jagdev +2 more
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Numerical simulation of fifth order KdV equations occurring in magneto-acoustic waves
Ain Shams Engineering Journal, 2018 In this work, we aim to apply a numerical approach based on Homotopy perturbation transform method (HPTM) for derive the exact and approximate solutions of nonlinear fifth order KdV equations for study magneto-acoustic waves in plasma.
Amit Goswami +2 more
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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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