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New approximate solutions to the nonlinear Klein-Gordon equations using perturbation iteration techniques
(American Institute of Mathematical Sciences, 2020)
In this study, we present the new approximate solutions of the nonlinear Klein-Gordon equations via perturbation iteration technique and newly developed optimal perturbation iteration method. Some specific examples are ...
New approximate solutions to electrostatic differential equations obtained by using numerical and analytical methods
(De Gruyter, 2020)
In this paper, we implement the optimal homotopy asymptotic method to find the approximate solutions of the Poisson-Boltzmann equation. We also use the results of the conjugate gradient method for comparison with those of ...
Comparative Study between Optimal Homotopy Asymptotic Method and Perturbation-Iteration Technique for Different Types of Nonlinear Equations
(Springer International Publishing, 2018)
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 ...
Solving the burgers' and regularized long wave equations using the new perturbation iteration technique
(John Wiley and Sons Inc., 2018)
In this study, an efficient framework is 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
(Korean Mathematical Society, 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
(Springer Verlag, 2017)
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 ...