Abstract In this paper, we propose a new application of the successive linearization method for s... more Abstract In this paper, we propose a new application of the successive linearization method for solving a system of nonlinear third order equations that govern the steady of laminar three dimensional flow for an incompressible, viscous fluid past a stretching sheet. A comparison is made with results from existing methods reported in the literature to test the validity, accuracy and convergence of the method. It was found that the method is easy to implement, yields accurate results, and performs better than some numerical methods. Also, the effects of the physical parameters the fluid velocity are depicted graphically and are analyzed in detail.
An approximate solution is obtained of the steady, laminar three-dimensional ow for an incompress... more An approximate solution is obtained of the steady, laminar three-dimensional ow for an incompressible, viscous uid past a stretching sheet using the Spectral Adomian Decomposition Method (SADM). The governing partial dierential equations are transformed into ordinary dierential equations using suitable transformations. A comparison between the obtained results with solutions obtained early in the literature and the numerical solution has been made to testthe validity, accuracy and convergence of the SADM. The eects of physical parameters on the velocity are determined and discussed.
Abstract In this paper, we propose a new application of the successive linearization method for s... more Abstract In this paper, we propose a new application of the successive linearization method for solving a system of nonlinear third order equations that govern the steady of laminar three dimensional flow for an incompressible, viscous fluid past a stretching sheet. A comparison is made with results from existing methods reported in the literature to test the validity, accuracy and convergence of the method. It was found that the method is easy to implement, yields accurate results, and performs better than some numerical methods. Also, the effects of the physical parameters the fluid velocity are depicted graphically and are analyzed in detail.
An approximate solution is obtained of the steady, laminar three-dimensional ow for an incompress... more An approximate solution is obtained of the steady, laminar three-dimensional ow for an incompressible, viscous uid past a stretching sheet using the Spectral Adomian Decomposition Method (SADM). The governing partial dierential equations are transformed into ordinary dierential equations using suitable transformations. A comparison between the obtained results with solutions obtained early in the literature and the numerical solution has been made to testthe validity, accuracy and convergence of the SADM. The eects of physical parameters on the velocity are determined and discussed.
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Papers by Mohammed Abdalbagi