In this paper, we present the convergence of a mixed θ-scheme and Godunov’s scheme discretizing coupled convection-diffusion and Hamilton-Jacobi equations (in a non-homogeneous medium) modelling an anomaly of overvelocity or overpressure observed during the combustion of some solid propellant blocks.

Hamilton-Jacobi equation, convection-diffusion equation, numerical scheme.

Received: September 28, 2021; Accepted: November 8, 2021; Published: November 19, 2021

How to cite this article: Toyo Koffi EDARH-BOSSOU and Dawaïdom SAMIE, Convergence of a Scheme Computing Coupled Hamilton-Jacobi and Convection-Diffusion Equations, International Journal of Numerical Methods and Applications 20(2) (2021), 135-156. DOI: 10.17654/NM020020135

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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