Abstract

Boundary conditions implementation in previously proposed bicompact schemes is studied. These schemes are constructed by the method of lines for a linear transport equation. These schemes are conservative, monotonic, and economical and can be solved by running calculation method. Methods are proposed for the boundary conditions implementation in bicompact schemes that ensure their high accuracy by using A- and L-stable diagonally implicit Runge-Kutta schemes with the third-order approximation for the time integration of the transport equation.

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