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 for [a.
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.
