To solve a nonlinear algebraic system
(3), the method of extension by parameter in conjunction with the iterative Newton method is applied.
For converting the system of integral equations to an algebraic system
, at first by means of change of variables in the system and in conditions (15) we reduce all the integration integrals to one interval [-1;1].
The algebraic system
was used because, in Brazil, it is the most usual and cannot be ignored.
alpha][xi]] yields a set of algebraic system
In order to find an algebraic system
of four equations with four unknowns, it is necessary to integrate over the area (r,[theta]), where r = [0,a], and [theta] = [0,27[pi]], by using the orthogonal-relations [[integral].
Here the main source of errors is due to the truncation of the continuous differential operator, which, however, does not need to be reflected simply by the data errors in the coefficients of the resulting linear algebraic system
By solving the algebraic system
(7), we obtain [[phi].
The difference with classical multistep methods is the transformation of the differential system into a purely algebraic system
by introducing estimation functions not only for the derivatives but also for the state variables.
Depending of the type of the leaning we write the boundary conditions and we obtain an algebraic system
The canceled party reminded me of the algebraic system
that rates a woman with long hair and light skin as an L2 or "L-squared.
has word processing capabilities that have been enhanced with the graphing functionality of the TI-83 Plus, as well as the symbolical algebraic system
of the TI-92 and TI-89.
Within this general approach, choices exist regarding (1) the form of the BDF used, (2) the range of orders for the method, (3) the strategy for controlling solution order and step-size, (4) the nonlinear algebraic equation solution method used, (5) the nonlinear iteration matrix update procedure, (6) the linear algebraic system
solution methods, and (7) the range of matrix structures and coefficient storage methods implemented.