Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
Browse
3 results
Search Results
Article Citation - WoS: 134Citation - Scopus: 154A New Approach for Solving Multi Variable Orders Differential Equations With Mittag-Leffler Kernel(Pergamon-elsevier Science Ltd, 2020) Jafari, H.; Baleanu, D.; Ganji, R. M.In this paper we consider multi variable orders differential equations (MVODEs) with non-local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of variable order. We use the fifth-kind Chebyshev polynomials as basic functions to obtain operational matrices. We transfer the original equations to a system of algebraic equations using operational matrices and collocation method. The convergence analysis of the presented method is discussed. Few examples are presented to show the efficiency of the presented method. (C) 2019 Elsevier Ltd. All rights reserved.Article Citation - WoS: 138Citation - Scopus: 147Thermal and Velocity Slip Effects on Casson Nanofluid Flow Over an Inclined Permeable Stretching Cylinder Via Collocation Method(Pergamon-elsevier Science Ltd, 2018) Soomro, Feroz Ahmed; Haq, Rizwan Ul; Wang, W.; Defterli, Ozlem; Usman, M.; Ul Haq, RizwanThe main emphasis of present work is to investigate the velocity and thermal slip effects on Casson nano fluid with heat and mass transfer phenomena over an inclined permeable stretching cylinder. The cylinder is subject to transverse magnetic field. Buongiorno's model is adapted to study the Brownian motion and thermphoresis effects which play a dominant role in nanofluid. Governing set of equations are derived in terms of partial differential equations for Casson nanofluid model, consisting continuity, momentum, energy and concentration equation which are transformed into set of coupled nonlinear ordinary differential equations using similarity transformation. The numerical solution is obtained using collocation method. The literature survey shows that the present problem has not been studied before. Physical quantities of interest are nanofluid velocity, temperature, concentration, skin friction coefficient, Nusselt number and Sherwood number which are analyzed through graphs against the emerging physical parameters. It is found that Nb and Nt play a dominant role within the thermal and concentration boundary layer regions. In the same manner, suction parameter and both velocity and thermal slip parameters depicts the dynamic effects in the entire domain of stretching surface of the cylinder. (C) 2018 Elsevier Ltd. All rights reserved.Article Citation - WoS: 50Citation - Scopus: 64New Studies for General Fractional Financial Models of Awareness and Trial Advertising Decisions(Pergamon-elsevier Science Ltd, 2017) Abou Hasan, Muner M.; Baleanu, Dumitru; Sweilam, Nasser H.In this paper, two numerical techniques are introduced to study numerically the general fractional advertising model. This system describes the flux of the consumers from unaware individuals group to aware or purchased group. The first technique is an asymptotically stable difference scheme, which was structured depending on the nonstandard finite difference method. This scheme preserves the properties of the solutions of the model problem as the positivity and the boundedness. The second technique is the Jacobi-Gauss-Lobatto spectral collocation method which is exponentially accurate. By means of this approach, such problem is reduced to solve a system of nonlinear algebraic equations and are greatly simplified the problem. Numerical comparisons to test the behavior of the used techniques are run out. We conclude from the computational work that: the Jacobi-Gauss-Lobatto spectral collocation method is more accurate whereas the nonstandard finite difference method requires less computational time. (C) 2017 Elsevier Ltd. All rights reserved.