Numerical methods for hyperbolic differential functional problems. (English) Zbl 1158.65057
The article is devoted to initial boundary value problems for quasilinear first-order partial differential functional systems. The author constructs a general class of difference methods and presents theorems on error estimate of the approximate solutions for difference functional systems. The convergence is proved by means of consistency and stability arguments. A numerical experiment is presented.
Reviewer: Marek Brandner (Plzeň)
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 35R10 | Partial functional-differential equations |
