Stationary Galerkin method for a parabolic equation with changing time direction. (Russian) Zbl 1274.35202
Summary: We apply a stationary Galerkin method for solving the first boundary problem for a parabolic equation with changing time direction in a cylindrical domain. We choose the basis functions as the solutions of the spectral problem for the Laplace equation. We study the weak and strong convergence of the approximate solutions to a regular solution.
MSC:
| 35K65 | Degenerate parabolic equations |
| 35K20 | Initial-boundary value problems for second-order parabolic equations |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
