Generalized Shifted Airfoil Polynomials of the Second Kind to Solve a Class of Singular Electrohydrodynamic Fluid Model of Fractional Order

In this manuscript, we find the numerical solutions of a class fractional-order differential equations with singularity and strong nonlinearity pertaining to electrohydrodynamic flow in circular cylindrical conduit. The underlying model is removed by quasilinearization method (QLM) obtain family linearized equations. By making use generalized shifted airfoil polynomials second kind (SAPSK) together some appropriate collocation points as roots SAPSK, arrive at an algebraic system linear be solved iterative manner. error analysis convergence properties SAPSK are established L2 L? norms. Through simulations, it shown that proposed hybrid QLM-SAPSK approach not only capable tackling inherit origin, but also produces effective problem different parameters two fractional order derivatives. accuracy present technique checked via residual functions. simple efficient for solving model. computational outcomes accurate comparison those values reported literature.