Compact difference schemes for the multidimensional hyperbolic-parabolic equation
https://doi.org/10.29235/1561-2430-2022-58-4-370-380
Abstract
In this paper, we consider the stable compact difference schemes of 4 + 4 approximation order for the multidimensional hyperbolic-parabolic equation with constant coefficients. A priori estimates for the stability and convergence of the difference solution in strong mesh norms are obtained. The theoretical results are confirmed by test numerical calculations.
Keywords
compact difference schemes,
multidimentional hyperbolic-parabolic equation,
priori estimates,
stability,
convergence
Supporting agencies: The author expresses her sincere gratitude to Professor, Doctor of Physics and Mathematics P.P. Matus (Correspondent Member of the National Academy of Sciences of Belarus) for help, advice, and recommendations received during the preparation of this work.
About the Author
Hoang Thi Kieu Anh
Belarusian State University; Ho Chi Minh City University of Natural Resources and Environment
Viet Nam
Viet Nam
Hoang Thi Kieu Anh – Postgraduate Student, Belarusian State University; Ho Chi Minh University of Natural Resources and Environment.
4, Nezavisimosti Ave., 220030, Minsk; Le Van Sy Str., 236B, 72107, Ho Chi Minh city
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