Yazar "Esen A." seçeneğine göre listele

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    An application of trigonometric quintic b-spline collocation method for sawada- kotera equation
    (Adiyaman University, 2022) Karabenli H.; Esen A.; Yağmurlu N.M.
    In this paper, we deal with the numerical solution of Sawada-Kotera (SK) equation classified as the type of fifth order Korteweg-de Vries (gfKdV) equation. In the first step of our study consisting of several steps, nonlinear model problem is split into the system with the coupled new equations by using the transformation wxxx = v. In the second step, to get rid of the nonlinearity of the problem, Rubin-Graves type linearization is used. After these applications, the approximate solutions are obtained by using the trigonometric quintic B-Spline collocation method. The efficiency and accuracy of the present method is demonstrated with the tables and graphs. As it is seen in the tables given with the error nouns L2 and for different time and space steps, the present method is more accurate for the larger element) numbers and smaller time steps. © 2022, Adiyaman University. All rights reserved.
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    Exp-function method for solving the general improved KdV equation
    (Freund Publishing House Ltd, 2009) Kutluay S.; Esen A.
    This paper applies He's Exp-function method to the one-dimensional general improved KdV (GIKdV) equation with n th power nonlinear term to obtain some new generalized solitary solutions and periodic solutions. It is shown that the Exp-function method, with the help of any symbolic computation packages, provides a straightforward and powerful mathematical tool for solving many generalized nonlinear evolution equations arising in mathematical physics. ©Freund Publishing House Ltd.
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    Numerical solution of some fractional partial differential equations using collocation finite element method
    (Natural Sciences Publishing, 2015) Ucar Y.; Yagmurlu N.M.; Tasbozan O.; Esen A.
    In this work, our aim is to obtain a numerical solution to some fractional differential equations. In the solution process, we have used fractional derivatives in Caputo sense. The fundamental characteristics of the present method is the fact that it converts complex problems into those requiring the solution of algebraic ones, which is obviously more easy for computational processing. The obtained approximate values show the accuracy and suitability of the present scheme for applying a wide range of fractional partial differential equations. Finally, the error norms L2 and L? are computed and found to be sufficiently small. © 2015 NSP.