Stability of the classical explicit scheme and the Crank-Nicolson scheme for parabolic equations

Nana Song; Wenwen Xu

doi:10.1117/12.2672764

28 March 2023 Stability of the classical explicit scheme and the Crank-Nicolson scheme for parabolic equations

Nana Song, Wenwen Xu

Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 125970E (2023) https://doi.org/10.1117/12.2672764
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China

Abstract

In this paper, classical explicit scheme and Crank-Nicolson scheme for a class of parabolic equation with constant coefficients with initial boundary value conditions are studied, the compatibility of the two schemes is verified, and their stability is analyzed by matrix method. Finally, the numerical experiments verify the correctness of the theoretical analysis.

Citation Download Citation

Nana Song and Wenwen Xu "Stability of the classical explicit scheme and the Crank-Nicolson scheme for parabolic equations", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 125970E (28 March 2023); https://doi.org/10.1117/12.2672764

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