%0 Journal Article %T Linearization in ASM1 model for the solution of pollutants transport equations %A Neyva Maria Lopes Romeiro %A Rigoberto Gregorio Sanabria Castro %A Sandra Mara Cardoso Malta %J Semina : Ci¨ºncias Exatas e Tecnol¨®gicas %D 2008 %I State University of Londrina %X It is proposed to reduce the complexity existing in non-linear BIOMOC and ASM1 models using Taylor¡¯s frst-order series expansion in the terms whose reactive processes are non-linear. One of the advantages of linear models is the conservation of non-linear model variables. However, the main characteristic of this methodology refers to the computational time obtained in the numeral simulations, which is much shorter than that concerning the non-linear model results. Numerical results are presented, showing the effciency, precision and solidity of the proposed technique in well-known cases in the literature, using the semi-discrete method of finite elements. %K Non linear model %K Finite element method %K ASM1 %U http://www.uel.br/revistas/uel/index.php/semexatas/article/view/2973