Results 1 to 10 of about 1,506 (219)

Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

Abstract and Applied Analysis, 2012
A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations.
Yanqin Liu
doaj   +1 more source

A new operational matrix based on Bernoulli polynomials [PDF]

, 2014
In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S., Parand, K., Rad, J. A., Shaban, M.   +3 more
core  

Solitary and compacton solutions of fractional KdV-like equations

Open Physics, 2016
In this paper, based on Jumarie’s modified Riemann-Liouville derivative, we apply the fractional variational iteration method using He’s polynomials to obtain solitary and compacton solutions of fractional KdV-like equations.
Tang Bo, Fan Yingzhe, Zhao Jianping, Wang Xuemin   +3 more
doaj   +1 more source

An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method

, 2010
In this paper we propose a collocation method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain. They are categorized as singular initial value problems.
A.R. Rezaei, Agarwal, Aslanov, Aslanov, Bao, Bataineh, Bender, Boyd, Boyd, Boyd, Boyd, Chandrasekhar, Chowdhury, Chowdhury, Christov, Coulaud, Davis, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Funaro, Funaro, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, He, Horedt, K. Parand, Kara, Kara, Liao, Liu, Maday, Mandelzweig, Marzban, Mehdi Dehghan, Parand, Parand, Parand, Parand, Parand, Parand, Ramos, Ramos, Ramos, Ramos, S Bataineh, S.M. Ghaderi, Saadatmandi, Shakeri, Shawagfeh, Shen, Shen, Shen, Shen, Singh, Siyyam, Tang, Tatari, Wazwaz, Wazwaz, Yildirim, Yousefi, Zhang   +74 more
core   +1 more source

Solution of Fifth-order Korteweg and de Vries Equation by Homotopy perturbation Transform Method using He’s Polynomial

Nonlinear Engineering, 2017
In this paper, a combined form of the Laplace transform method with the homotopy perturbation method is applied to solve nonlinear fifth order Korteweg de Vries (KdV) equations. The method is known as homotopy perturbation transform method (HPTM).
Sharma Dinkar, Singh Prince, Chauhan Shubha   +2 more
doaj   +1 more source

Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel Model

Journal of Function Spaces, 2022
In this paper, we propose an innovative approach to determine the approximate solution of the coupled time-fractional Keller-Segel (K-S) model. We use the fractional complex transform (FCT) to switch the model into its differential partner, and then, the
Xiankang Luo, Muhammad Nadeem, Mustafa Inc, Suliman Dawood   +3 more
doaj   +1 more source

An Approach for Approximating Analytical Solutions of the Navier-Stokes Time-Fractional Equation Using the Homotopy Perturbation Sumudu Transform’s Strategy

Axioms, 2023
In this study, we utilize the properties of the Sumudu transform (SuT) and combine it with the homotopy perturbation method to address the time fractional Navier-Stokes equation.
Sajad Iqbal, Francisco Martínez
doaj   +1 more source

MGF Approach to the Analysis of Generalized Two-Ray Fading Models [PDF]

, 2015
We analyze a class of Generalized Two-Ray (GTR) fading channels that consist of two line of sight (LOS) components with random phase plus a diffuse component.
Alouini, Mohamed-Slim, Goldsmith, Andrea, Lopez-Martinez, F. Javier, Rao, Milind   +3 more
core   +2 more sources

Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems

Abstract and Applied Analysis, 2012
A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems.
Yanqin Liu
doaj   +1 more source

Application of homotopy perturbation sumudu transform method for solving heat and wave-like equations [PDF]

, 2013
In this paper, we use the homotopy perturbation sumudu transform method (HPSTM) to solve heat and wave-like equations. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors.
Kilicman, Adem, Kumar, Devendra, Singh, Jagdev   +2 more
core   +1 more source