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math.NA2025
A MUSCL-Hancock scheme for non-local conservation laws
Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K
In this article, we propose a MUSCL-Hancock-type second-order scheme for the discretization of a general class of non-local conservation laws and present its convergence analysis.…
math.NA2025
A positivity preserving second-order scheme for multi-dimensional system of non-local conservation laws
Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K
Non-local systems of conservation laws play a crucial role in modeling flow mechanisms across various scenarios. The well-posedness of such problems is typically established by dem…