Theoretical study of a numerical method to solve a diffusion-convection problem

Cybernetics - Tập 44 - Trang 283-291 - 2008
V. A. Prusov1, A. E. Doroshenko2, R. I. Chernysh3, L. N. Guk3
1Taras Shevchenko National University, Kyiv, Ukraine
2National Technical University "Kyiv Polytechnical Institute", Kyiv, Ukraine
3Ukrainian Research Institute of Hydrometeorology, Kyiv, Ukraine

Tóm tắt

The paper analyzes the approximation, stability, convergence, monotonicity, and dissipative and dispersion properties of the diffusion-convection method. The spatial mesh is considered nonuniform. The application of the method to a problem with the third boundary condition is considered. The computational complexity of the algorithm is estimated.

Tài liệu tham khảo

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