Constructing unconditionally time-stable numerical solutions for mixed parabolic problems
✍ Scribed by R. Aloy; M.C. Casabán; L. Jódar
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 584 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
This paper proposes a new numerical method based on an implicit difference scheme and the Fourier method which is applied to construct numerical solutions of mixed parabolic problems. The method is consistent and unconditionally time stable.
📜 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
An unconditionally stable precise integration time-domain method is extended to 3-D circular cylindrical coordinates to solve Maxwell's equations. In contrast with the cylindrical finite-difference time-domain method, not only can it remove the stability condition restraint, but also make the numeri
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
This paper deals with the correction of Section 2 of (11 that is incorrect starting from formula (2.5). The correction is based on the replacement of hypotheses (1.6) and (1.7) by new conditions. Minor consequences is Sections 3 and 4 of [l] are also rectified.