A higher-order difference scheme of the Cabaret class for solving the transport equation
Keywords: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.
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How to Cite
Соловьев А., Данилин А. A Higher-Order Difference Scheme of the Cabaret Class for Solving the Transport Equation // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2018. 19. 185-193. doi 10.26089/NumMet.v19r217
Section 1. Numerical methods and applications