Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Mehmet Giyas Sakar"'
Publikováno v:
Theoretical and Applied Mechanics Letters, Vol 10, Iss 5, Pp 333-342 (2020)
The aim of the present study is to design a new fifth order system of Emden–Fowler equations and related four types of the model. The standard second order form of the Emden–Fowler has been used to obtain the new model. The shape factor that appe
Externí odkaz:
https://doaj.org/article/40eea412261f41bdbc4e3e6147275cc5
Autor:
Mehmet Giyas Sakar
Publikováno v:
An International Journal of Optimization and Control: Theories & Applications, Vol 7, Iss 2, Pp 186-194 (2017)
In this paper, homotopy analysis method is improved with optimal determination of auxiliary parameter by use of residual error function for solving neutral functional-differential equations (NFDEs) with proportional delays. Convergence analysis and e
Externí odkaz:
https://doaj.org/article/00a1ad54eb1d4b31992eda42fd906ef6
Autor:
Mehmet Giyas Sakar, Onur Saldır
Publikováno v:
Fractal and Fractional, Vol 4, Iss 4, p 53 (2020)
In this article, a new reproducing kernel approach is developed for obtaining a numerical solution of multi-order fractional nonlinear three-point boundary value problems. This approach is based on a reproducing kernel, which is constructed by shifte
Externí odkaz:
https://doaj.org/article/9ce3fd5ce5354749a7c5b55e897872f0
Publikováno v:
Fractal and Fractional, Vol 4, Iss 2, p 27 (2020)
In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms. Th
Externí odkaz:
https://doaj.org/article/c4c78b7b4c294ac48d8e998b75fe7fde
Publikováno v:
Entropy, Vol 19, Iss 7, p 296 (2017)
In this paper, we propose a new type (n + 1)-dimensional reduced differential transform method (RDTM) based on a local fractional derivative (LFD) to solve (n + 1)-dimensional local fractional partial differential equations (PDEs) in Cantor sets. The
Externí odkaz:
https://doaj.org/article/75bfd56dbae542a4b0a24c7474795727
Autor:
Onur Saldır, Mehmet Giyas Sakar
Publikováno v:
Mathematical Methods in the Applied Sciences. 46:1395-1410
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f99f4de0191d8801ce722765fc92808f
https://doi.org/10.1002/mma.8769
https://doi.org/10.1002/mma.8769
Autor:
Onur Saldır, Mehmet Giyas Sakar
Publikováno v:
Journal of Applied Mathematics and Computing. 64:227-254
In this study, iterative reproducing kernel method (RKM) will be applied in order to observe the effect of the method on numerical solutions of fractional order Boussinesq equation. Hilbert spaces and their kernel functions, linear operators and base
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84740186e58220dfd218e3b7ba65ebfd
https://doi.org/10.1007/s12190-020-01353-4
https://doi.org/10.1007/s12190-020-01353-4
Publikováno v:
Applied Mathematics and Nonlinear Sciences. 5:425-436
The purpose of this paper is to present a uniform finite difference method for numerical solution of a initial value problem for semilinear second order singularly perturbed delay differential equation. A numerical method is constructed for this prob
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3ff487ba543d80fc3ef5c012b9fb559
https://doi.org/10.2478/amns.2020.1.00040
https://doi.org/10.2478/amns.2020.1.00040
Autor:
Mehmet Giyas Sakar, Hafiz Abdul Wahab, Muhammad Asif Zahoor Raja, Zulqurnain Sabir, Muhammad Umar
In this study, a novel computational paradigm based on Morlet wavelet neural network (MWNN) optimized with integrated strength of genetic algorithm (GAs) and Interior-point algorithm (IPA) is presented for solving second order Lane-Emden equation (LE
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::695811f002fb00288b35a0d317e75fb5
https://avesis.yyu.edu.tr/publication/details/82829439-f217-44c8-93b6-02739054ae25/oai
https://avesis.yyu.edu.tr/publication/details/82829439-f217-44c8-93b6-02739054ae25/oai
Publikováno v:
Computational and Applied Mathematics. 37:5951-5964
In this article, we construct a novel iterative approach that depends on reproducing kernel method for Cahn-Allen equation with Caputo derivative. Representation of solution and convergence analysis are presented theoretically. Numerical results are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a26d6519d65bfd9221bf77fa15ac6abe
https://doi.org/10.1007/s40314-018-0672-9
https://doi.org/10.1007/s40314-018-0672-9