Results 81 to 90 of about 11,210,734 (170)

Approximate solution for fractional attractor one-dimensional Keller-Segel equations using homotopy perturbation sumudu transform method

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, Samra Gurpinder Singh, Singh Prince   +2 more
doaj   +1 more source

Improving homotopy perturbation method with optimal Lagrange interpolation polynomials [PDF]

, 2012
In this paper, an efficient modification of the homotopy perturbation method by using optimal Lagrange interpolation polynomials is presented. The proposed method is easy to implement and computationally very attractive.
Babolian, E., Hosseini, S.M., Heydari, M.   +2 more
core   +1 more source

Numerically Modeling Solve by Homotopy Perturbation Method [PDF]

, 2019
In this paper, we used the homotopy perturbation method (HPM) to obtain a different approximate solutions of the Cauchy problem using in one dimensional nonlinear thermoelasticity.
Razzaq, Anmole
core   +1 more source

Approximate analytical solutions of distributed order fractional Riccati differential equation

Ain Shams Engineering Journal, 2018
In this paper, the combined Laplace transform and new homotopy perturbation method is employed for solving a special class of the distributed order fractional Riccati equation.
Hossein Aminikhah, Amir Hosein Refahi Sheikhani, Hadi Rezazadeh   +2 more
doaj   +1 more source

Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version

Journal of Applied Mathematics, 2012
The fact that most of the physical phenomena are modelled by nonlinear differential equations underlines the importance of having reliable methods for solving them.
Hector Vazquez-Leal, Arturo Sarmiento-Reyes, Yasir Khan, Uriel Filobello-Nino, Alejandro Diaz-Sanchez   +4 more
doaj   +1 more source

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

An efficient hybrid computational technique for solving nonlinear local fractional partial differential equations arising in fractal media

Nonlinear Engineering, 2018
In present work, nonlinear fractional partial differential equations namely transport equation and Fokker-Planck equation involving local fractional differential operators, are investigated by means of the local fractional homotopy perturbation Sumudu ...
Prakash Amit, Kaur Hardish
doaj   +1 more source

Applications of homotopy perturbation method for nonlinear partial differential equations [PDF]

, 2017
Homotopy perturbation method is simply applicable to the different non-linear partial differential equations. In this paper, Drinfeld-Sokolov and Modified Benjamin-Bona-Mahony equations are is studied perturbatively by using homotopy perturbation ...
Mart H.Y., Yildiz G., Daghan D.
core   +1 more source

A User''s Guide to Solving Dynamic Stochastic Games Using the Homotopy Method [PDF]

This paper provides a step-by-step guide to solving dynamic stochastic games using the homotopy method. The homotopy method facilitates exploring the equilibrium correspondence in a systematic fashion; it is especially useful in games that have multiple ...
Ron N. Borkovsky, Yaroslav Kryukov, Ulrich Doraszelski   +2 more
core  

MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRAL EQUATIONS

, 2010
This paper proposes a modified homotopy perturbation method to solve Fredholm and Volterra integral equations. Comparison of the obtained results with those obtained by the standard homotopy perturbation method shows that the proposed method is very ...
JAFAR SABERI-NADJAFI, MOHAMADREZA TAMAMGAR   +1 more
core   +1 more source