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Comparative Study between Optimal Homotopy Asymptotic Method and Perturbation-Iteration Technique for Different Types of Nonlinear Equations
(JUN)
In this paper, we compare optimal homotopy asymptotic method and perturbation-iteration method to solve random nonlinear differential equations. Both of these methods are known to be new and very powerful for solving ...
A new fractional analysis on the polluted lakes system
(MAY)
In this paper, we use Atangana-Baleanu derivative which is defined with the Mittag-Leffler function and has all the properties of a classical fractional derivative for solving the system of fractional differential equations. ...
Solving the burgers' and regularized long wave equations using the new perturbation iteration technique
(SEP)
In this study, an efficient framework provided to handle nonlinear partial differential equations by implementing perturbation iteration method. This method is recovered and amended to solve the Burgers' and regularized ...
NEW ANALYTIC APPROXIMATE SOLUTIONS TO THE GENERALIZED REGULARIZED LONG WAVE EQUATIONS
(2018)
In this paper, the new optimal perturbation iteration method has been applied to solve the generalized regularized long wave equation. Comparing the new analytic approximate solutions with the known exact solutions reveals ...
A new efficient method for solving delay differential equations and a comparison with other methods
(JAN 27)
In this paper, a new analytical technique, namely the optimal perturbation iteration method, is presented and applied to delay differential equations to find an efficient algorithm for their approximate solutions. Effectiveness ...
Modification of perturbation-iteration method to solve different types of nonlinear differential equations
(2017)
Perturbation iteration method has been recently constructed by Pakdemirli and co-workers. It has been also proven that this technique is very effective and applicable for solving some nonlinear differential equations. In ...
A Practical Method for Analytical Evaluation of Approximate Solutions of Fisher's Equations
(2017)
In this article, a framework is developed to get more approximate solutions to nonlinear partial differential equations by applying perturbation iteration technique. This technique is modified and improved to solve nonlinear ...
Implementation of Taylor Collocation and Adomian Decomposition Method for Systems of Ordinary Differential Equations
(2015)
The importance of ordinary differential equation and also systems of these equations in scientific world is a crystal-clear fact. Many problems in chemistry, physics, ecology, biology can be modeled by systems of ordinary ...
Comparison of solutions of systems of delay differential equations using Taylor collocation method, Lambert W function and variational iteration method
(JUN)
In this paper, solution of systems of delay differential equations, with initial conditions, using numerical methods, including the Taylor collocation method, the Lambert W function and the variational iteration method, ...