This paper deals with the construction of analytic-numerical solutions with a priori error bounds for systems of the type Here A, B, C are matrices for which no diagonalizable hypothesis is assumed. First an exact series solution is obtained after solving appropriate vector Sturm-Liouville-type pro
Analytic solution with a priori error bounds for a class of mixed coupled partial differential equations
✍ Scribed by E. Navarro; M.V. Ferrer; L. Jódar
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 569 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The aim of this paper is double. First, we point out that the hypothesis D(tl)D(t2) = D(t2)D(tl) imposed in [1] can be removed. Second, a constructive method for obtaining analyticnumerical solutions with a prefixed accuracy in a bounded domain gl(to, tl) = [0,p] x [t0,tl], for mixed problems of the
The problem of obtaining bounds on the response of a distributed system which is governed b2;' a class of coupled partial differential equations is considered. The Liapunov method is used and several general bounds on the peak response are developed. A variational optimization scheme for obtaining s
This paper deals with initial value problems for coupled time dependent hyperbolic partial differential systems. First, an exact solution is obtained using Fourier transform. Then, numerical solution of the underlying differential equations and numerical integration techniques permit the constructio
This paper deals with the construction of continuous numerical solutions of mixed problems described by the timsdependent telegraph equation utt + c(t)ut + b(t)u = a(t)u,,, 0 < 2 < d, t > 0. Here a(t), b(t), and c(t) are positive functions with appropiate additional alternative hypotheses. First, us