Browsing by Author "Khan, Yasir"
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Conference Object Citation - WoS: 1Comparison on Solving a Class of Nonlinear Systems of Partial Differential Equations and Multiple Solutions of Second Order Differential Equations(Springer international Publishing Ag, 2019) Akgul, Esra Karatas; Khan, Yasir; Baleanu, Dumitru; Akgul, AliConference Object Citation - WoS: 1Citation - Scopus: 2A Homotopy Perturbation Solution for Solving Highly Nonlinear Fluid Flow Problem Arising in Mechanical Engineering(Amer inst Physics, 2018) Akgul, Ali; Faraz, Naeem; Inc, Mustafa; Akgul, Esra Karatas; Baleanu, Dumitru; Khan, YasirIn this paper, a highly nonlinear equations are treated analytically via homotopy perturbation method for fluid mechanics problem. The non-linear differential equations are transformed to a coupled non-linear ordinary, differential equations via similarity transformations. Graphical results are presented and discussed for various physical parameters.Article Citation - WoS: 102Citation - Scopus: 124Local Fractional Variational Iteration Method for Diffusion and Wave Equations on Cantor Sets(Editura Acad Romane, 2014) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Khan, Yasir; Mohyud-Din, S. T.; MatematikIn this work, the local fractional variational iteration method is employed to handle the sub-diffusion and wave equations and the analytical solutions are obtained. The present method is efficient and implicit to investigate the differential equations with the local fractional derivatives.Article Citation - WoS: 7Citation - Scopus: 8Representation for the Reproducing Kernel Hilbert Space Method for a Nonlinear System(Hacettepe Univ, Fac Sci, 2019) Akgul, Ali; Khan, Yasir; Baleanu, Dumitru; Akgul, Esra Karatas; Karatas Akgül, EsraWe apply the reproducing kernel Hilbert space method to a nonlinear system in this work. We utilize this technique to overcome the nonlinearity of the problem. We obtain accurate results. We demonstrate our results by tables and figures. We prove the efficiency of the method.Article Citation - WoS: 23Solutions of Nonlinear Systems by Reproducing Kernel Method(int Scientific Research Publications, 2017) Khan, Yasir; Akgul, Esra Karatas; Baleanu, Dumitru; Al Qurashi, Maysaa Mohamed; Akgul, AliA novel approximate solution is obtained for viscoelastic fluid model by reproducing kernel method (RKM). The resulting equation for viscoelastic fluid with magneto-hydrodynamic flow is transformed to the nonlinear system by introducing the dimensionless variables. Results are presented graphically to study the efficiency and accuracy of the reproducing kernel method. Results show that this method namely RKM is an efficient method for solving nonlinear system in any engineering field. (C) 2017 All rights reserved.Conference Object Citation - WoS: 2Solving the Nonlinear System of Third-Order Boundary Value Problems(Springer international Publishing Ag, 2019) Akgul, Esra Karatas; Khan, Yasir; Baleanu, Dumitru; Akgul, Ali
