Application of a subdivision algorithm for solving nonlinear algebraic systems
Fuente:
Redalyc
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Artículo científico |
| Lingua: | en |
| Pubblicazione: |
Universidade Estadual de Maringá
2008
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1876477115411464192 |
|---|---|
| author | Fernanda de Castilhos Corazza |
| author_facet | Fernanda de Castilhos Corazza |
| contents | Application of a subdivision algorithm for solving nonlinear algebraic systems Fernanda de Castilhos Corazza José Vladimir de Oliveira Marcos Lúcio Corazza Ingeniería simulation Numerical analysis multiple solutions nonlinear equations subdivision algorithm A subdivision algorithm is presented and applied to solving commonly found chemical engineering problems described by nonlinear algebraic systems. For this purpose, a web-based library available in the literature was used as the main source to select a wide class of one- and multidimensional problems, comprising phase and chemical equilibrium, conversion in tubular and continuous stirred tank reactors, material and energy balances, etc. The problems are classified according to the literature as low, intermediate and of high degree of numerical difficulty based on specific characteristics, like discontinuities in the functions, multiple solutions with the occurrence of false and unfeasible roots, and the presence of null derivative values. It is shown that the algorithm is efficient and robust, even for multidimensional problems of high numerical difficulty, allowing to find simultaneously all the feasible roots of nonlinear algebraic systems, naturally excluding false and unfeasible solutions, with a relatively low CPU time. These features make the algorithm an interesting alternative to deal with chemical engineering problems in contrast to some methods currently in the literature. 2008 artículo científico 1806-2563 https://www.redalyc.org/articulo.oa?id=303226520005 en http://www.redalyc.org/revista.oa?id=3032 Acta Scientiarum. Technology application/pdf Universidade Estadual de Maringá Acta Scientiarum. Technology (Brasil) Num.1 Vol.30 |
| format | Artículo científico |
| id | redalyc_303226520005 |
| institution | Redalyc |
| language | en |
| publishDate | 2008 |
| publisher | Universidade Estadual de Maringá |
| spellingShingle | Application of a subdivision algorithm for solving nonlinear algebraic systems Fernanda de Castilhos Corazza Ingeniería simulation Numerical analysis multiple solutions nonlinear equations subdivision algorithm Application of a subdivision algorithm for solving nonlinear algebraic systems Fernanda de Castilhos Corazza José Vladimir de Oliveira Marcos Lúcio Corazza Ingeniería simulation Numerical analysis multiple solutions nonlinear equations subdivision algorithm A subdivision algorithm is presented and applied to solving commonly found chemical engineering problems described by nonlinear algebraic systems. For this purpose, a web-based library available in the literature was used as the main source to select a wide class of one- and multidimensional problems, comprising phase and chemical equilibrium, conversion in tubular and continuous stirred tank reactors, material and energy balances, etc. The problems are classified according to the literature as low, intermediate and of high degree of numerical difficulty based on specific characteristics, like discontinuities in the functions, multiple solutions with the occurrence of false and unfeasible roots, and the presence of null derivative values. It is shown that the algorithm is efficient and robust, even for multidimensional problems of high numerical difficulty, allowing to find simultaneously all the feasible roots of nonlinear algebraic systems, naturally excluding false and unfeasible solutions, with a relatively low CPU time. These features make the algorithm an interesting alternative to deal with chemical engineering problems in contrast to some methods currently in the literature. 2008 artículo científico 1806-2563 https://www.redalyc.org/articulo.oa?id=303226520005 en http://www.redalyc.org/revista.oa?id=3032 Acta Scientiarum. Technology application/pdf Universidade Estadual de Maringá Acta Scientiarum. Technology (Brasil) Num.1 Vol.30 |
| title | Application of a subdivision algorithm for solving nonlinear algebraic systems |
| topic | Ingeniería simulation Numerical analysis multiple solutions nonlinear equations subdivision algorithm |
| url | https://www.redalyc.org/articulo.oa?id=303226520005 |