BzzBVP class

The BzzBVP class is dedicated to the solution of BVPs with the structure... 

The strategy adopted in the BzzBVP class is as follows. The interval xatXb is split into an assigned number of elements. The polynomial order O is also assigned for the approximation of the variables within each element. Such an order can vary from 3 to 6 and is constant for all the variables of the system. If a... 

When a constant parameter has to be estimated, the number of equations of the BVP is N, whereas the number of variables is AI -1-1. The constant parameter in the BzzBVP class must be the A/ + 1 variable. 

The object fep has numerous functions that can be exploited inside the BzzPlecewlseHermltePolynomlallnterpolation and BzzBVP classes. 

The BzzBVP class has only one constructor (default constructor) ... 

In the BzzBVP class, only the case with one single constant parameter is considered. Moreover, the constant parameter must be the Af + 1 variable. 

When a constant parameter requires estimation, it is necessary to provide an initial or a final additional condition. The variable in it la IF Inal is required to communicate to the object of the BzzBVP class, which of the two possibilities has been selected by the user If the additional condition is the initial one, the value of this variable is 0 it is 1 otherwise (final condition). The value of this variable is pointless when no constant parameters need estimation. 

Solve the problem in the previous example using an object from the BzzBVP class. The program is... 

An object of the BzzBVP class checks whether the solution is achieved in the following manner. 

In the BzzBVP class, the following strategy is adopted. It is applied only when the errors of the residuals are practically zero at the support points and are reasonably small (but still unsatisfactory) at the cormection points. It is also adopted when there is a critical parameter and we want to exploit the solution achieved using a softer value of that parameter. 

The system can be easily transformed into the following form, required by the object of the BzzBvp class ... 

The numerical solution (solid line) is overlapped with the analytical solution (dots). To make use of the classes easier, their objects have been inserted into a class BzzBVP, implemented solely to solve BVP with the structure (6.122)-(6.124). Note that by using the following statement ... 

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See also in sourсe #XX -- [ , , , ]

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