Electronic Resource
Chichester [u.a.]
:
Wiley-Blackwell
International Journal for Numerical Methods in Engineering
12 (1978), S. 1623-1628
ISSN:
0029-5981
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
ADI difference schemes for the solution of the wave equation with variable coefficients are given. Mckee1 has given a formula of order O(k2 + h4), while Ciment and Leventhal2 have given a formula of order O(k4 + h4). Both the formulas are conditionally stable with the condition λ√c λ √3-1. In this paper we have derived uncoditionally stable ADI schemes of orders O(k2 + h2) and O(k2 + h4). These schemes allow large time steps and the computational effort is thus reduced. Numerical experiments suggest the usefulness of our formulas.
Additional Material:
1 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620121012
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