Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 8Citation - Scopus: 9The Numerical Solution of Fourth Order Nonlinear Singularly Perturbed Boundary Value Problems Via 10-Point Subdivision Scheme Based Numerical Algorithm(Amer inst Physics, 2020) Baleanu, Dumitru; Mustafa, Ghulam; Malik, Safia; Chu, Yu-Ming; Ejaz, Syeda TehminaThe subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point interpolating subdivision scheme is used to develop a numerical algorithm for the solution of fourth order nonlinear singularly perturbed boundary value problems (NSPBVPs). The studies of convergence and approximation order of the numerical algorithm are also presented. The solution of NSPBVPs is presented to see the efficiency of the algorithm.Article Citation - WoS: 29Citation - Scopus: 28The General Bilinear Techniques for Studying the Propagation of Mixed-Type Periodic and Lump-Type Solutions in a Homogenous-Dispersive Medium(Amer inst Physics, 2020) Osman, Mohamed S.; Zhu, Wen-Hui; Zhou, Li; Baleanu, Dumitru; Liu, Jian-GuoThis paper aims to construct new mixed-type periodic and lump-type solutions via dependent variable transformation and Hirota's bilinear form (general bilinear techniques). This study considers the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili equation, which describes the weakly dispersive waves in a homogeneous medium in fluid dynamics. The obtained solutions contain abundant physical structures. Consequently, the dynamical behaviors of these solutions are graphically discussed for different choices of the free parameters through 3D plots.Article Citation - WoS: 13Citation - Scopus: 12Magnetohydrodynamic Mixed Convection Flow of Jeffery Fluid With Thermophoresis, Soret and Dufour Effects and Convective Condition(Amer inst Physics, 2019) Baleanu, Dumitru; Husnine, S. M.; Shabbir, Khurram; Iftikhar, NazishThe aim of this paper is to investigate heat and mass transfer of Jeffery fluid on a stretching sheet. Moreover, the influence of magnetic field with mixed convection, convective boundary condition and Soret and Dufour effects is also brought into the consideration along with chemical reaction and thermophoresis condition. The problem is modeled by system of partial differential equations and solutions are obtained by optimal homotopy analysis method. In addition, for comprehensive interpretation of the influence of the system parameters results are shown by graphs and tables. (C) 2019 Author(s).
