Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization
In: Journal of computational and applied mathematics, Jg. 101 (1999), Heft 1-2, S. 189-202
Online
academicJournal
- print, 27 ref
In this paper continuous numerical solutions expressed in terms of matrix exponentials are constructed to approximate time-dependent systems of the type ut-A(t)uxx - B(t)u = 0 < x < p, t > 0, u(0,t) u(x, 0)=f(x ), 0≤ x≤p. After truncation of an exact series solution, the numerical solution is constructed using Fer's factorization. Given ε > 0 and t0,t1, with 0 < t0 < t1 and D(t0,t1)={(x,t); 0≤x≤p, t0≤t≤t1} the error of the approximated solution with respect to the exact series solution is less than ε uniformly in D(t0,t1). An algorithm is also included.
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Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization
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Autor/in / Beteiligte Person: | BLANES, S ; JODAR, L |
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Zeitschrift: | Journal of computational and applied mathematics, Jg. 101 (1999), Heft 1-2, S. 189-202 |
Veröffentlichung: | Amsterdam: Elsevier, 1999 |
Medientyp: | academicJournal |
Umfang: | print, 27 ref |
ISSN: | 0377-0427 (print) |
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