Browsing by Author "Senol, M"

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    On the Perturbation-Iteration Algorithm for fractional differential equations
    Senol, M; Dolapci, IT
    In this study, Perturbation-Iteration Algorithm, namely PIA, is applied to solve some types of fractional differential equations (FDEs) for the first time. To illustrate the efficiency of the method, numerical solutions are compared with the results published in the literature by considering some FDEs. The results confirm that the PIA is a powerful, efficient and accurate method for solving nonlinear fractional differential equations. (C) 2015 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.
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    New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations
    Dolapçi, IT; Senol, M; Pakdemirli, M
    In this paper, recently developed perturbation iteration method is used to solve Fredholm and Volterra integral equations. The study shows that the new method can be applied to both types of integral equations. Some numerical examples are given, and results are compared with other studies to illustrate the efficiency of the method.
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    Perturbation-Iteration Method for First-Order Differential Equations and Systems
    Senol, M; Dolapçi, IT; Aksoy, Y; Pakdemirli, M
    The previously developed new perturbation-iteration algorithm has been applied to differential equation systems for the first time. The iteration algorithm for systems is developed first. The algorithm is tested for a single equation, coupled two equations, and coupled three equations. Solutions are compared with those of variational iteration method and numerical solutions, and a good agreement is found. The method can be applied to differential equation systems with success.