Results 1 to 10 of about 108 (95)
α-Sumudu Transformation Homotopy Perturbation Technique on Fractional Gas Dynamical Equation
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 Transformation and many other substitution methods have been used to solve non-linear differential fractional equations. In this present work, the homotopy perturbation method to solve the non-linear differential fractional equation with the help of He’s
Ali Moazzam +2 more
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A Reliable Treatment for Nonlinear Differential Equations
Journal of Mathematics, 2021 In this paper, we use the concept of homotopy, Laplace transform, and He’s polynomials, to propose the auxiliary Laplace homotopy parameter method (ALHPM).
H. R. Marasi +3 more
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A Semi-Analytical Approach for the Approximate Solution of Casting-Mould Heterogeneous System [PDF]
Computational Algorithms and Numerical Dimensions, 2022 In this work, we study the Variational Iteration Method (VIM) accompanied by He's polynomials for obtaining the solution of the temperature distribution in the casting-mould heterogeneous system with fractional order.
Muhammad Nadeem
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New treatment of fractional Fornberg–Whitham equation via Laplace transform
Ain Shams Engineering Journal, 2013 In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg–Whitham equation in wave breaking.
Jagdev Singh +2 more
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Journal of Mathematics, 2022 The major objective of this study is to derive fractional series solutions of the time-fractional Swift-Hohenberg equations (TFSHEs) in the sense of conformable derivative using the conformable Shehu transform (CST) and the Daftardar-Jafari approach (DJA)
Muhammad Imran Liaqat, Eric Okyere
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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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He-Laplace Method for Linear and Nonlinear Partial Differential Equations
Journal of Applied Mathematics, 2012 A new treatment for homotopy perturbation method is introduced. The new treatment is called He-Laplace method which is the coupling of the Laplace transform and the homotopy perturbation method using He’s polynomials.
Hradyesh Kumar Mishra, Atulya K. Nagar
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Numerical Solution of the Time Fractional Reaction-advection-diffusion Equation in Porous Media [PDF]
Journal of Applied and Computational Mechanics, 2022 In this work, we obtained the numerical solution for the system of nonlinear time-fractional order advection-reaction-diffusion equation using the homotopy perturbation method using Laplace transform method with fractional order derivatives in Liouville ...
Prashant Pandey +2 more
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Advances in Mathematical Physics, 2017 We propose and apply coupling of the variational iteration method (VIM) and homotopy perturbation method (HPM) to solve nonlinear mixed Volterra-Fredholm integrodifferential equations (VFIDE).
F. A. Hendi, M. M. Al-Qarni
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Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials
International Journal of Differential Equations, 2010 This paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of
Syed Tauseef Mohyud-Din +2 more
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