| Subject |
Computational methods in partial differential equations |
| Title |
On the numerical solution of hyperbolic equations with singular source terms |
| Author(s) |
Irfan Turk, Maksat Ashyralaliyev |
| Keywords |
WENO method, Non-uniform mesh, Hyperbolic equations with singular source terms |
| Abstract |
A numerical study is presented of hyperbolic equations having singular source terms, singular in the sense that within the spatial domain the source is defined by a Dirac delta function. Solutions of such problems will have discontinuities which forms an obstacle for standard numerical methods. In this study a fifth order flux implicit WENO method with non-uniform meshes is investigated for approximate solutions of hyperbolic equations having singular source terms. Numerical examples are provided. |
