Yazar "Momani, Shaher" için listeleme
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Application of generalized differential transform method to multi-order fractional differential equations
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid (Elsevier, 2008)In a recent paper [Odibat Z, Momani S, Erturk VS. Generalized differential transform method: application to differential equations of fractional order, Appl. Math Comput. submitted for publication] the authors presented a ... -
Application of Multi-Step Differential Transform Method For the Analytical and Numerical Solutions of the Density Dependent Nagumo Telegraph Equation
Erturk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher (Editura Acad Romane, 2012)The Differential Transform Method (DTM) is an analytical and numerical method for solving a wide variety of differential equations and usually gets the solution in a series form. The multi-step DTM is treated as an algorithm ... -
Application of the modified differential transform method to fractional oscillators
Abu-Gurra, Sana; Erturk, Vedat Suat; Momani, Shaher (Emerald Group Publishing Ltd, 2011)Purpose - The purpose of this paper is to find a semi-analytic solution to the fractional oscillator equations. In this paper, the authors apply the modified differential transform method to find approximate analytical ... -
An approach for approximate solution of fractional-order smoking model with relapse class
Zeb, Anwar; Erturk, Vedat Suat; Khan, Umar; Zaman, Gul; Momani, Shaher (World Scientific Publ Co Pte Ltd, 2018)In this paper, we develop a fractional-order smoking model by considering relapse class. First, we formulate the model and find the unique positive solution for the proposed model. Then we apply the Grunwald-Letnikov ... -
An approximate solution method for the fractional version of a singular BVP occurring in the electrohydrodynamic flow in a circular cylindrical conduit
Alomari, A. K.; Erturk, Vedat Suat; Momani, Shaher; Alsaedi, Ahmed (Springer Heidelberg, 2019)The aim of the present study is to obtain approximate solutions of the fractional counterpart of a boundary value problem that appears in electrohydrodynamic flows by using generalized differential transform method (in ... -
An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4(+) T-cells
Erturk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher (Pergamon-Elsevier Science Ltd, 2011)In this paper, a fractional order differential system for modeling human T-cell lymphotropic virus I (HTLV-I) infection of CD4(+) T-cells is studied and its approximate solution is presented using a multi-step generalized ... -
Comparing numerical methods for solving fourth-order boundary value problems
Ertuerk, Vedat Suat; Momani, Shaher (Elsevier Science Inc, 2007)In this study, we present a numerical comparison between differential transform method and the Adomian decomposition method for solving fourth-order boundary value problems. Three examples are given. The numerical results ... -
Comparing Two Numerical Methods for Approximating a New Giving Up Smoking Model Involving Fractional Order Derivatives
Erturk, Vedat Suat; Zaman, Gul; Alzalg, Baha; Zeb, Anwar; Momani, Shaher (Springer International Publishing Ag, 2017)In a recent paper (Zeb et al. in Appl Math Model 37(7):5326-5334, 2013), the authors presented a new model of giving up smoking model. In the present paper, the dynamics of this new model involving the Caputo derivative ... -
Comparison of Numerical Methods of the SEIR Epidemic Model of Fractional Order
Zeb, Anwar; Khan, Madad; Zaman, Gul; Momani, Shaher; Erturk, Vedat Suat (Verlag Z Naturforsch, 2014)In this paper, we consider the SEW (Susceptible-Exposed-Infected-Recovered) epidemic model by taking into account both standard and bilinear incidence rates of fractional order. First, the non-negative solution of the SEIR ... -
Dynamical analysis of the Irving-Mullineux oscillator equation of fractional order
Abbas, Syed; Erturk, Vedat Suat; Momani, Shaher (Elsevier Science Bv, 2014)Objective: Objective of this work is to study the fractional counterpart of the Irving-Mullineux nonlinear oscillator equation and compare the result with the integer order equation theoretically as well as numerically. ... -
Generalized differential transform method for solving a space-and time-fractional diffusion-wave equation
Momani, Shaher; Odibat, Zaid; Erturk, Vedat Suat (Elsevier Science Bv, 2007)In this Letter we propose a new generalization of the two-dimensional differential transform method that will extend the application of the method to a diffusion-wave equation with space- and time-fractional derivatives. ... -
Generalized differential transform method: Application to differential equations of fractional order
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat (Elsevier Science Inc, 2008)In this paper we propose a new generalization of the one-dimensional differential transform method that will extend the application of the method to differential equations of fractional order. The new generalization is ... -
The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators
Erturk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher (Global Science Press, 2012)In this paper, a reliable algorithm based on an adaptation of the standard differential transform method is presented, which is the multi-step differential transform method (MSDTM). The solutions of non-linear oscillators ... -
A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives
Erturk, Vedat Suat; Zaman, Gul; Momani, Shaher (Pergamon-Elsevier Science Ltd, 2012)Smoking is one of the main causes of health problems and continues to be one of the world's most significant health challenges. In this paper, the dynamics of a giving up smoking model containing fractional derivatives is ... -
A numerical scheme for the solution of viscous Cahn-Hilliard equation
Momani, Shaher; Erturk, Vedat Suat (Wiley, 2008)In this paper, we present a numerical scheme for the solution of viscous Cahn-Hilliard equation. The scheme is based on Adomian's decomposition approach and the solutions are calculated in the form of a convergent series ... -
A reliable algorithm for solving tenth-order boundary value problems
Erturk, Vedat Suat; Momani, Shaher (Springer, 2007)In this paper we present an efficient numerical algorithm for solving linear and nonlinear boundary value problems with two-point boundary conditions of tenth-order. The differential transform method is applied to construct ... -
Solutions of a fractional oscillator by using differential transform method
Al-rabtah, Adel; Erturk, Vedat Suat; Momani, Shaher (Pergamon-Elsevier Science Ltd, 2010)In this paper, we present an efficient algorithm for solving a fractional oscillator using the differential transform method. The fractional derivatives are described in the Caputo sense. The application of differential ... -
Solutions of non-linear oscillators by the modified differential transform method
Momani, Shaher; Ertuerk, Vedat Suat (Pergamon-Elsevier Science Ltd, 2008)A numerical method for solving nonlinear oscillators is proposed. The proposed scheme is based on the differential transform method (DTM), Laplace transform and Pade approximants. The modified differential transform method ... -
Solutions to the problem of prey and predator and the epidemic model via differential transform method
Erturk, Vedat Suat; Momani, Shaher (Emerald Group Publishing Ltd, 2008)Purpose - The purpose of this paper is to solve both the prey and predator problem and the problem of the spread of a non-fatal disease in a population which is assumed to have constant size over the period of the epidemic. ... -
Solving a system of fourth-order obstacle boundary value problems by differential transform method
Momani, Shaher; Erturk, Vedat Suat (Emerald Group Publishing Limited, 2008)Purpose - This paper sets out to study a system of fourth-order obstacle boundary value problems associated with obstacle, unilateral and contact problems. Design/methodology/approach - Differential transform method was ...
