On the numerical solution of hyperbolic equations with singular source terms

Abstract

Articles you may be interested inOn the numerical solution of diffusion problem with singular source terms AIP Conf.Abstract. A numerical study for hyperbolic equations having singular source terms is presented. 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 paper, a fifth order flux implicit WENO method with non-uniform meshes is studied for approximate solutions of hyperbolic equations having singular source terms. Numerical examples are provided.