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
Coiflet interpolation and approximate solutions of elliptic partial differential equations
β Scribed by En-Bing Lin; Xiaolin Zhou
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 134 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0749-159X
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β¦ Synopsis
In this article, we prove a higher order interpolation result for square -integrable functions by using generalized coiflets. Convergence of approximation by using generalized coiflets is shown. Applications to wavelet -Galerkin approximation of elliptic partial differential equations and some numerical examples are also given.
π SIMILAR VOLUMES
The explicit closed-form solutions for a second-order differential equation with a constant self-adjoint positive definite operator coefficient A (the hyperbolic case) and for the abstract Euler-Poisson-Darboux equation in a Hilbert space are presented. On the basis of these representations, we prop