A higher-order difference scheme of the Cabaret class for solving the transport equation





Cabaret scheme, transport equation, higher order approximation, accuracy


A new difference scheme of the Cabaret class with a higher order of accuracy for solving the scalar transport equation is proposed. The order of approximation of this difference scheme is equal to four. The balance-characteristic representation of the scheme is constructed and the dispersion properties are given. For the proposed difference scheme, a number of examples to solve the transport equation for smooth and discontinuous profiles are considered in comparison with the classical Cabaret scheme.

Author Biographies

A.V. Solovjev

A.V. Danilin


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How to Cite

Соловьев А.В., Данилин А.В. A Higher-Order Difference Scheme of the Cabaret Class for Solving the Transport Equation // Numerical methods and programming. 2018. 19. 185-193. doi 10.26089/NumMet.v19r217



Section 1. Numerical methods and applications