a] using the

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a] using the **tridiagonal** matrix algorithm (TDMA) in one dimension.

Above algebraic equations are in **tridiagonal** matrix form which is solved by using LU decomposition in the present work.

For bsvd this leads to a variety of **tridiagonal** symmetric eigenproblems (tseps).

On subsequent iterations one calculates only residual matrix solving the two **tridiagonal** systems.

The implicit solution scheme of equations (10)-(15) was solved using a **tridiagonal** matrix algorithm (Thomas algorithm) programmed in Matlab[R].

0] (3) In the case of generalized Birth and Death process the system matrix is of **tridiagonal** structure and the transitions are mapped by the following matrix for production chain of identical machines of parameters k=5, m=3, r=3, i.

v] correspond to eigenvectors of a certain **tridiagonal** matrix obtained from the Legendre differential equation.

Resumidamente, destacam-se as seguintes caracteristicas para solucao do modelo: (1) i) uso de componente de velocidade covariante em diferentes posicoes; ii) uso do algoritmo SIMPLE(1) (Semi-Implicit Method for Pressure Linked Equations) acoplando pressao e velocidade; iii) metodo completamente implicito para discretizacao no tempo; iv) TDMA (Tri-diagonal Matrix Algorithm), utilizando o metodo ADI (Alternate Direction Implicit), que converte o sistema de equacoes para um sistema **tridiagonal**, combinado com o metodo linha por linha.