Yazar "Yücel, Merve" için Fen Edebiyat Fakültesi listeleme
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Computation of Eigenfunctions of Nonlinear Boundary-Value -Transmission Problems by Developing Some Approximate Techniques
Yücel, Merve; Mukhtarov, Oktay Sh.; Aydemir, Kadriye (SOC PARANAENSE MATEMATICA, 2023)In this study, we investigate a boundary value problem for nonlinear Sturm-Liouville equations with additional transmission conditions at one interior singular point. Known numerical methods are intended for solving initial ... -
Generalized differential transformation method for solving two-interval Weber equation subject to transmission conditions
Yücel, Merve; Muhtarov, Fahreddin S.; Mukhtarov, Oktay Sh. (KARAGANDA STATE UNIV, 2023)The main goal of this study is to adapt the classical differential transformation method to solve new types of boundary value problems. The advantage of this method lies in its simplicity, since there is no need for ... -
A New Treatment of the Decomposition Method for Nonclassical Boundary Value Problems
Yücel, Merve; Mukhtarov, Oktay Sh. (Amer Scientific Publishers, 2018)In this work, we will adapt the Adomian Decomposition Method to nonclassical boundary value problems the main feature of which is the nature of the equations and the boundary conditions imposed. Namely, the boundary ... -
A Study of the Eigenfunctions of the Singular Sturm-Liouville Problem Using the Analytical Method and the Decomposition Technique
Mukhtarov, Oktay Sh; Yücel, Merve (Mdpi, 2020)Abstract: The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov. The greatest ... -
Treatment a New Approximation Method and Its Justification for Sturm-Liouville Problems
Mukhtarov, Okan Sh.; Yücel, Merve; Aydemir, Kadriye (Wiley-Hindawi, 2020)In this paper, we propose a new approximation method (we shall call this method as alpha-parameterized differential transform method), which differs from the traditional differential transform method in calculating the ...