Abstract
We propose a new numerical method for a solution of first‐order linear hyperbolic equations. The leap‐frog scheme is converted to a nondispersive scheme by introducing an adjustable constant in a fictitious absorption term. Then the erroneous decrease in th solution is eliminated by solving two equations equivalent to the original equation. The new scheme perfectly preserves the form of a discontinuous solution.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-8 |
| Number of pages | 8 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1987 |