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)|
|Number of pages||8|
|Journal||Numerical Methods for Partial Differential Equations|
|State||Published - 1987|