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 …
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 …
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 …
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
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) …
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
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 …
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
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 …
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 …
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 …
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 …
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
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 …
modified differential transform method (MDTM). The differential transform method (DTM) is …