Compact difference schemes for the multidimensional hyperbolic-parabolic equation-Reference-Cited by-同舟云学术

Compact difference schemes for the multidimensional hyperbolic-parabolic equation

Published:2023-01-01 Issue:4 Volume:58 Page:370-380
ISSN:2524-2415
Container-title:Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series
language:
Short-container-title:Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk

Author:

Anh Hoang Thi Kieu¹

Affiliation:

1. Belarusian State University; Ho Chi Minh City University of Natural Resources and Environment

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.

Publisher

Publishing House Belorusskaya Nauka

Subject

Computational Theory and Mathematics,General Physics and Astronomy,General Mathematics

Reference19 articles.

1. Tikhonov A. N., Samarskii A. A. Equations of Mathematical Physics. New York, Dover Publ. Inc., 1990. 765 p.

2. Straughan B. Heat Waves. New York, Springer, 2011. 318 p. https://doi.org/10.1007/978-1-4614-0493-4

3. Zhukovsky K. V., Srivastava H. M. Analytical solutions for heat diffusion beyond Fourier law. Applied Mathematics and Computation, 2017, vol. 293, pp. 423–437. https://doi.org/10.1016/j.amc.2016.08.038

4. Yating Huang, Zhe Yin. The compact finite difference method of two-dimensional Cattaneo model. Journal of Function Spaces, 2020, vol. 1, pp. 1–12. https://doi.org/10.1155/2020/6301757

5. Samarskii A. A., Matus P. P., Vabishchevich P. N. Difference Schemes with Operator Factors. Dordrecht, Springer-science + Business media, 2002. 384 p. https://doi.org/10.1007/978-94-015-9874-3