Solving nonlinear fractional partial differential equations using the homotopy analysis method

M Dehghan, J Manafian… - Numerical Methods for …, 2010 - Wiley Online Library
In this article, the homotopy analysis method is applied to solve nonlinear fractional partial
differential equations. On the basis of the homotopy analysis method, a scheme is …

The use of He's variational iteration method for solving the telegraph and fractional telegraph equations

M Dehghan, SA Yousefi, A Lotfi - International Journal for …, 2011 - Wiley Online Library
In this paper the variational iteration method is used to compute the solution for the linear,
variable coefficient, fractional derivative and multi space telegraph equations. The method …

[HTML][HTML] Variational iteration method for solving a generalized pantograph equation

A Saadatmandi, M Dehghan - Computers & Mathematics with Applications, 2009 - Elsevier
The variational iteration method is applied to solve the generalized pantograph equation.
This technique provides a sequence of functions which converges to the exact solution of …

Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system

PK Sahu, SS Ray - Applied mathematics and computation, 2015 - Elsevier
In this paper, Legendre wavelet method is developed to approximate the solutions of system
of nonlinear Volterra integro-differential equations. The properties of Legendre wavelets are …

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 …

[HTML][HTML] He's variational iteration method for solving nonlinear mixed Volterra–Fredholm integral equations

SA Yousefi, A Lotfi, M Dehghan - Computers & Mathematics with …, 2009 - Elsevier
In this paper He's variational iteration method is used to give the approximate solution of
nonlinear mixed Volterra–Fredholm integral equations. The method constructs a convergent …

A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein–Volterra delay integral equations

PK Sahu, SS Ray - Fuzzy Sets and Systems, 2017 - Elsevier
In this article, Bernoulli wavelet method has been developed to solve nonlinear fuzzy
Hammerstein–Volterra integral equations with constant delay. This type of integral equation …

Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation

S Tauseef Mohyud‐Din, Y Khan, N Faraz… - International Journal of …, 2012 - emerald.com
Purpose–The purpose of this paper is to apply exp‐function method to construct generalized
solitary and periodic solutions of Fitzhugh‐Nagumo equation, which plays a very important …

Analytical treatment of some partial differential equations arising in mathematical physics by using the Exp-function method

M Dehghan, J Manafian… - International Journal of …, 2011 - World Scientific
The Exp-function method with the aid of symbolic computational system can be used to
obtain the generalized solitary solutions and periodic solutions for nonlinear evolution …

Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications

F Soltanian, M Dehghan… - International Journal of …, 2010 - Taylor & Francis
Differential algebraic equations (DAEs) appear in many fields of physics and have a wide
range of applications in various branches of science and engineering. Finding reliable …