Direct methods of solution of partial differential equations with periodic boundary conditions
β Scribed by D.J. Evans
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 421 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0378-4754
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β¦ Synopsis
In this paper, suitable discrete approximations for the genera2 eZliptic and parabolic partia2 differential equation with periodic boundary conditions are derived and appropriate direct and fast solution methods of the resulting linear systems proposed.
π SIMILAR VOLUMES
We study boundary value problems for quasilinear parabolic equations when the initial condition is replaced by periodicity in the time variable. Our approach is to relate the theory of such problems to the classical theory for initial-boundary value problems. In the process, we generalize many previ
Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary