Positivity--preserving numerical scheme for hyperbolic systems with $\delta -$ shock solutions and its convergence analysis

Aekta Aggarwal, Ganesh Vaidya, G. D. Veerappa Gowda

Godunov type numerical schemes for the class of hyperbolic systems, admitting non-classical $\delta -$ shocks are proposed. It is shown that the numerical approximations converge to the…