Sentence examples for outer solutions from inspiring English sources

The inner and outer solutions are matched by the matching process.

The solutions defined in (6) can be regarded as the outer solutions.

The integration constants in the outer solutions can be determined by matching these solutions with the initial layer solutions.

Similarly, matching between the outer solutions and the right boundary layer correction requires that V R = u ( b ).

Matching between the outer solutions and the left boundary layer correction requires that V L = u ( a ).

Thus these outer solutions will involve constants which need to be determined by matching solutions obtained from the rescaling of the problem to the initial layer.

The outer solution for (Psi_{s} tau)) is identically zero.

Results of both methods are contrasted with the outer solution.

Initial conditions for this outer solution are identified through matching with the asymptotic inner solution.

Fig. 6 Ratio of ( frac{{overline{C}}^{C} ) as a function of concentration of outer solution.

This is the outer solution and it is also matched to the base case.