Browsing by Author "Korpinar, Zeliha S."

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Citation - WoS: 2
Citation - Scopus: 30
A New Method for Approximate Solutions of Some Nonlinear Equations: Residual Power Series Method
(Sage Publications Ltd, 2016) Korpinar, Zeliha S.; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; Inc, Mustafa; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this work, a powerful iterative method called residual power series method is introduced to obtain approximate solutions of nonlinear time-dependent generalized Fitzhugh-Nagumo equation with time-dependent coefficients and Sharma-Tasso-Olver equation subjected to certain initial conditions. The consequences show that this method is efficient and convenient, and can be applied to a large sort of problems. The approximate solutions are compared with the known exact solutions.
Citation - WoS: 81
Citation - Scopus: 78
Solutions of the Time Fractional Reaction-Diffusion Equations With Residual Power Series Method
(Sage Publications Ltd, 2016) Inc, Mustafa; Korpinar, Zeliha S.; Baleanu, Dumitru; Tchier, Fairouz; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this article, the residual power series method for solving nonlinear time fractional reaction-diffusion equations is introduced. Residual power series algorithm gets Maclaurin expansion of the solution. The algorithm is tested on Fitzhugh-Nagumo and generalized Fisher equations with nonlinearity ranging. The solutions of our equation are computed in the form of rapidly convergent series with easily calculable components using Mathematica software package. Reliability of the method is given by graphical consequences, and series solutions are used to illustrate the solution. The found consequences show that the method is a powerful and efficient method in determination of solution of the time fractional reaction-diffusion equations.