The construction of operational matrix of fractional derivatives using B-spline functions

M Lakestani, M Dehghan… - … in Nonlinear Science and …, 2012 - Elsevier
Fractional calculus has been used to model physical and engineering processes that are
found to be best described by fractional differential equations. For that reason we need a …

Application of semi‐analytic methods for the Fitzhugh–Nagumo equation, which models the transmission of nerve impulses

M Dehghan, JM Heris… - Mathematical Methods in …, 2010 - Wiley Online Library
In this work, the homotopy perturbation method (HPM), the variational iteration method (VIM)
and the Adomian decomposition method (ADM) are applied to solve the Fitzhugh–Nagumo …

Application of the Exp‐function method for solving a partial differential equation arising in biology and population genetics

M Dehghan, J Manafian Heris… - International Journal of …, 2011 - emerald.com
Purpose–The purpose of this paper is to use He's Exp‐function method (EFM) to construct
solitary and soliton solutions of the nonlinear evolution equation. Design/methodology …

The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems

SA Yousefi, A Lotfi, M Dehghan - Journal of Vibration and …, 2011 - journals.sagepub.com
In this article the Legendre multiwavelet basis with the aid of a collocation method has been
applied to give the approximate solution for the fractional optimal control problems (FOCPs) …

[HTML][HTML] Effects of heat and mass transfer on unsteady boundary layer flow of a chemical reacting Casson fluid

KA Khan, AR Butt, N Raza - Results in physics, 2018 - Elsevier
In this study, an endeavor is to observe the unsteady two-dimensional boundary layer flow
with heat and mass transfer behavior of Casson fluid past a stretching sheet in presence of …

Solution of a nonlinear time-delay model in biology via semi-analytical approaches

M Dehghan, R Salehi - Computer Physics Communications, 2010 - Elsevier
The delay logistic equations have been extensively used as models in biology and other
sciences, with particular emphasis on population dynamics. In this work, the variational …

[PDF][PDF] Using differential transform method and Padé approximant for solving MHD flow in a laminar liquid film from a horizontal stretching surface.

MM Rashidi, M Keimanesh - Mathematical Problems in Engineering, 2010 - core.ac.uk
The purpose of this study is to approximate the stream function and temperature distribution
of the MHD flow in a laminar liquid film from a horizontal stretching surface. In this paper …

Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall

B Raftari, K Vajravelu - … in nonlinear science and numerical simulation, 2012 - Elsevier
In this paper, we analyze the flow and heat transfer characteristics of a
magnetohydrodynamic (MHD) viscoelastic fluid in a parallel plate channel with a stretching …

A bibliography of the theory and applications of the Adomian decomposition method, 1961-2011

R Rach - Kybernetes, 2012 - emerald.com
I am pleased to submit my comprehensive worldwide bibliography on the Adomian
decomposition method:“A bibliography of the theory and applications of the Adomian …

The modified algorithm for the differential transform method to solution of Genesio systems

A Gökdoğan, M Merdan, A Yildirim - Communications in Nonlinear Science …, 2012 - Elsevier
In this article, approximate analytical solution of chaotic Genesio system is acquired by the
modified differential transform method (MDTM). The differential transform method (DTM) is …