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 …
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
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 …
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 …
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 …
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
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 …
[HTML][HTML] He's variational iteration method for solving nonlinear mixed Volterra–Fredholm integral equations
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 …
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 …
Hammerstein–Volterra integral equations with constant delay. This type of integral equation …
Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation
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 …
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 …
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 …
range of applications in various branches of science and engineering. Finding reliable …