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Assessment of an Analytical Approach in Solving Two Strongly Boundary Value Problems

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Abstract (2. Language): 
In this research, a powerful analytical method called Reconstruction of Variational Method (RVIM) is introduced to handle two boundary value problems. One is a parameterized sixth order boundary value problem and the other is a nonlinear boundary value problem arising in the study of thin film flow of a third grade fluid down an inclined plane. With similarity method, the governing equations can be reduced to a system of nonlinear ordinary differential equations. The effectiveness of the method, which is independent of the small parameter, is investigated by comparing the results obtained with the numerical ones (4th order Rung-kutta method) and the exact ones. For the second problem the velocity profile is plotted and the effect of varying the material constant on the velocity profile is studied
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