Name
Title | ||
|---|---|---|
A Family of Finite-Difference Schemes with Discrete Transparent Boundary Conditions for a Parabolic Equation on the Half-Axis. |
Abstract | ||
|---|---|---|
An initial-boundary value problem for the 1D self-adjoint parabolic equation on the half-axis is solved. We study a broad family of two-level finite-difference schemes with two parameters related to averages both in time and space. Stability in two norms is proved by the energy method. Also discrete transparent boundary conditions are rigorously derived for schemes by applying the method of reproducing functions. Results of numerical experiments are included as well. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1515/cmam-2013-0006 | COMPUTATIONAL METHODS IN APPLIED MATHEMATICS |
Keywords | Field | DocType |
Parabolic Equations,Unbounded Domains,Finite-Difference Schemes,Stability,Discrete Transparent Boundary Conditions | Parabolic partial differential equation,Boundary value problem,Finite difference,Mathematical analysis,Spacetime,Energy method,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
13 | 2 | 1609-4840 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A.A. Zlotnik | 1 | 3 | 5.79 |
| Natalya Koltsova | 2 | 0 | 0.34 |