In this paper, a simple and efficient analysis technique, Hankel-Padé method, is proposed to find the solution of a nonlinear ordinary differential equation that appears in the study of the steady flow of the third-grade fluid in a porous half space. The numerical solutions for some cases of the model's parameters are obtained by using the Hankel-Padé method. The convergence of the Hankel sequences is analyzed. Comparison to other available results for this problem reveals reliability and high accuracy of the proposed technique. Also the simple analytical expressions of the solutions of the governing non-linear boundary-layer problem are developed as rational approximation solutions. The effectivity and convergence of the rational approximation solutions are investigated by illustrative graphs and tables.
کلید واژگان :Third-grade fluid, porous half space, analytical solution, Padé approximation, Hankel-Padé method
ارزش ریالی : 350000 ریال
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