CHEMICAL AND OTHER APPLICATIONS OF THE NUMERICAL-METHOD OF LINES

Authors
Citation
P. Seifert, CHEMICAL AND OTHER APPLICATIONS OF THE NUMERICAL-METHOD OF LINES, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 533-534
Citations number
2
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
1
Pages
533 - 534
Database
ISI
SICI code
0044-2267(1996)76:<533:CAOAOT>2.0.ZU;2-G
Abstract
Many practical problems lead to mathematical models of initial-boundar y-value problems for parabolic differential equations or of similar st ructures. One of these models is solved by an algorithm based on the n umerical method of lines: after semidiscretization in spatial directio n we get time-dependent initial-value problems for ordinary differenti al or differential-algebraic equations, the numerical solution of whic h is performed by suitable solvers. Details of the solution process an d numerical results are presented for some application. The technical parameters, the stiffness of the equations remaining after spatial dis cretization and computational aspects of the algorithm are also discus sed.