全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Veysel Fuat Hatipoglu , Sertan Alkan , Aydin Secer
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1), pp.1-13Springer
摘要:Abstract(#br)In this study, the sinc collocation method is used to find an approximate solution of a system of differential equations of fractional order described in the Caputo sense. Some theorems are presented to prove the applicability of the proposed method to the system of ...
作者:Sertan Alkan , Mehmet Ali Akinlar
来源:[J].Boundary Value Problems(IF 0.922), 2013, Vol.2013 (1), pp.1-14Springer
摘要:Abstract(#br)In this paper we present an approximate solution of a fractional order two-point boundary value problem (FBVP). We use the sinc-Galerkin method that has almost not been employed for the fractional order differential equations. We expand the solution function in a fin...
作者:Sertan Alkan , Aydin Secer , Abdon Atangana
来源:[J].Mathematical Problems in Engineering(IF 1.383), 2015, Vol.2015Hindawi
摘要:We employ the sinc-Galerkin method to obtain approximate solutions of space-fractional order partial differential equations (FPDEs) with variable coefficients. The fractional derivatives are used in the Caputo sense. The method is applied to three different problems and the obtai...
作者:Sertan Alkan , Piyas Chowdhury ...
来源:[J].International Journal of Fatigue(IF 1.976), 2016, Vol.84, pp.28-39Elsevier
摘要:Abstract(#br)The study of near-threshold fatigue crack growth has long remained an empirical field due principally to the highly microstructure-sensitive nature thereof. The primary challenges have been to forward physical model(s) informed by the governing micromechanism(s)...
作者:Sertan Alkan , Merve Nilay Aydin , Ramazan Coban
来源:[J].Mathematical Methods in the Applied Sciences(IF 0.778), 2019, Vol.42 (16), pp.5266-5273Wiley
摘要:In this paper, the model of an electromechanical system, which is a system of linear differential equations, is studied. Haar wavelet collocation method (HWCM) is applied for finding the approximate solution of the model. HWCM reduces the system of the model into a matrix‐ve...
作者:... Veysel Fuat Hatipoglu , Sertan Alkan , Sebahat Ebru Das
来源:[J].Thermal Science(IF 0.838), 2018, Vol.22 (Supplement), pp.S7-S14塞尔维亚热力工程师协会
摘要:The aim of this work is to determine an approximate solution of a fractional order Volterra-Fredholm integro-differential equation using by the Sinc-collocation method. Conformable derivative is considered for the fractional derivatives. Some numerical examples having exact solut...
作者:Sertan Alkan
来源:[J].Sakarya University Journal of Science, 2017, Vol.21 (2), pp.82-89DOAJ
摘要:In this study, sinc-collocation method is introduced for solving Volterra integro-differential equations of fractional order. Fractional derivative is described in the Caputo sense often used in fractional calculus. Obtained results are given to literature as two new theorems. So...
作者:Sertan Alkan
来源:[J].Natural and Engineering Sciences, 2017, Vol.2 (3), pp.37-44DOAJ
摘要:This paper investigates the Haar wavelet collocation method (HWCM) to obtain approximate solution of the linear Emden-Fowler type equations. To show the efficiency and accuracy of the proposed method, some problems are solved and the obtained solutions are compared with the appro...
作者:Sertan Alkan , Veysel Fuat Hatipoglu
来源:[J].Tbilisi Mathematical Journal, 2017, Vol.10 (2), pp.1-13De Gruyter
摘要:Abstract In this study, sinc-collocation method is introduced for solving Volterra-Fredholm integro-differential equations of fractional order. Fractional derivative is described in the Caputo sense. Obtained results are given to literature as a new theorem. Some numerical exampl...
作者:Sertan Alkan , Aydin Secer
来源:[J].Open Physics, 2015, (1)De Gruyter
摘要:Abstract In this paper, the sinc-Galerkin method is usedfor numerically solving a class of nonlinear differentialequations with boundary conditions. The importance ofthis study is that sinc approximation of the nonlinear termis stated as a new theorem. The method introduced here ...

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