Mixed problems for separate variable coefficient wave equations : The non-Dirichlet case. Continuous numerical solutions with a priori error bounds
In: Mathematical and computer modelling, Jg. 30 (1999), Heft 9-10, S. 1-22
Online
academicJournal
- print, 25 ref
This paper deals with the construction of continuous numerical solutions of non-Dirichlet mixed wave systems of the form utt = (b(t))(a(x))uxx, 0 < x < L, t > 0, a1u(0,t) + a2ux(0,t) = 0, b1u(L,t) + b2ux(L,t) = 0, u(x,0) = f(x), ut(x,0) = g(x), 0 ≤ x ≤ L. Uniqueness and existence of an exact series solution are studied. Given an admissible error ∈ > 0 and a bounded domain D(T) = [0, L] x [0,T], T > 0, an approximate continuous numerical solution involving only a finite number of eigenvalues and eigenfunctions is given so that the error with respect to the exact solution is less than ∈ uniformly in D(T). The admissible error for the finite number of approximated eigenvalues, eigenfunctions, and Sturm-Liouville coefficients is determined in order to grantee the required accuracy.
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Mixed problems for separate variable coefficient wave equations : The non-Dirichlet case. Continuous numerical solutions with a priori error bounds
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Autor/in / Beteiligte Person: | JODAR, L ; ROSELLO, M. D |
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Zeitschrift: | Mathematical and computer modelling, Jg. 30 (1999), Heft 9-10, S. 1-22 |
Veröffentlichung: | Oxford: Elsevier Science, 1999 |
Medientyp: | academicJournal |
Umfang: | print, 25 ref |
ISSN: | 0895-7177 (print) |
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