Series Solutions for Nonlinear Boundary Value Problems

2 Series Solutions for Nonlinear Boundary Value Problems 

Series solutions for nonlinear boundary value problems can be obtained using Maple s dsolve command. The syntax is 

Note that, the initial condition at x = 0 is provided for both the dependent variable and its derivative. The unknown initial conditions are taken as constants. These constants are then found using the boundary condition at x = 1. The series solution obtained may be convergent or divergent depending on the problem. 

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Consider plane flow past a flat plate discussed in example 4.13. In the example discussed, a numerical solution was obtained for f as a function of Tj. Obtain a series solutions for f as a function of Tj. Hint see chapter 3 for more information on obtaining series solutions for nonlinear boundary value problems. How many terms will be required in the series for convergence ... 

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