Yazar "Yücel, Merve" için listeleme
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Application of differential transform method and Adomian decomposition method for solving of one nonlinear boundary-value transmission problem
Yücel, Merve; Mukhtarov, Oktay (Amer Inst Physics, 2019)In this study, we will found the approximate solution of one nonlinear boundary-value-transition problem by using Adomian Decomposition Method and Differential Transform Method. Namely we investigate the nonlinear differential ... -
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 ... -
Diferansiyel denklemler için başlangıç ve sınır değer problemlerinin ddy ile çözümü
Pürlüsoy, Mustafa Furkan (Hitit Üniversitesi, 2023)Bu çalışmada tek boyutlu ve iki boyutlu diferansiyel dönüşüm yöntemi (DDY) kullanılarak, başlangıç değer ve sınır değer problemlerinin çözümleri araştırılmıştır. İlk bölümde ön bilgiler verilmiştir. İkinci bölümde bir ... -
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 ...
