Solution of delay differential equation by means of homotopy analysis method

AK Alomari, MSM Noorani, R Nazar - Acta Applicandae Mathematicae, 2009 - Springer
The algorithm of approximate analytical solution for delay differential equations (DDE) is
obtained via homotopy analysis method (HAM) and modified homotopy analysis method …

[HTML][HTML] Variational iteration method with an auxiliary parameter for solving wave-like and heat-like equations in large domains

H Ghaneai, MM Hosseini - Computers & Mathematics with Applications, 2015 - Elsevier
The present study is an attempt to obtain solutions of wave-like and heat-like equations with
high-dimensional in large domains through the well-known variational iteration method …

Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrodinger-KdV equation

AK Alomari, MSM Noorani, R Nazar - Journal of Applied Mathematics and …, 2009 - Springer
In this paper, we apply the homotopy analysis method (HAM) and the homotopy perturbation
method (HPM) to obtain approximate analytical solutions of the coupled Schrodinger-KdV …

[PDF][PDF] THE ANALYTIC SOLUTION OF NON-LINEAR BURGERS–HUXLEY EQUATIONS USING THE TANH METHOD

KO Idowu, AC Loyinmi - Al-Bahir journal for Engineering and Pure Sciences, 2023 - iasj.net
The emergence of the BurgerseHuxley equation (which involves the famous Burgers
equation and the Huxley equation) to predict response systems, dispersion moves, and …

Numerical solution of fractional‐order HIV model using homotopy method

S Aljhani, MS Md Noorani… - Discrete Dynamics in …, 2020 - Wiley Online Library
In this study, we construct a convergent algorithm for generating an approximate analytic
solution for the fractional HIV infection of CD4+ T cells with Atangana–Baleanu fractional …

Homotopy approach for the hyperchaotic Chen system

AK Alomari, MSM Noorani, R Nazar - Physica Scripta, 2010 - iopscience.iop.org
In this paper, the numerical–analytical solution for the hyperchaotic Chen system is obtained
via the multistage homotopy analysis method (MSHAM). An analytical form of the solution …

Reduced differential transform method for solving parabolic-like and hyperbolic-like equations

N Taghizadeh, SRM Noori - SeMA Journal, 2017 - Springer
In this paper, we present the exact solutions of the partial differential equations in different
dimensions with variable coefficients by using reduced differential transform method …

Mixed of Elzaki transform and projected differential transform method for a nonlinear wave-like equations with variable coefficients

A Khalouta, A Kadem - 2018 - preprints.org
In this work, a mixture of Elzaki transform and projected differential transform method is
applied to solve a nonlinear wave-like equations with variable coefficients. Nonlinear terms …

[PDF][PDF] A novel solution for fractional chaotic Chen system

AK Alomari - system, 2015 - kurims.kyoto-u.ac.jp
A novel solution to the fraction chaotic Chen system is presented in this paper by using the
step homotopy analysis method. This method yields a continuous solution in terms of a …

A Homotopy‐Analysis Approach for Nonlinear Wave‐Like Equations with Variable Coefficients

A Aslanov - Abstract and Applied Analysis, 2015 - Wiley Online Library
We are interested in the approximate analytical solutions of the wave‐like nonlinear
equations with variable coefficients. We use a wave operator, which provides a convenient …