Volume 10, Issue 4
A Class of Three-Level Explicit Difference Schemes

J. Comp. Math., 10 (1992), pp. 301-304

Published online: 1992-10

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• Abstract

A class of three-level six-point explicit schemes $L_3$ with two parameters s, p and accuracy $O(\tau h+h^2)$ for a dispersion equation $U_1=aU_{xxx}$ is established. The stability condition $|R|\leq 1.35756176$ (s=3/2,p=10184153684) for $L_3$ is better than |R| &139; 1.1851 in [1] and seems to be the best for schemes of the same type.

• Keywords

@Article{JCM-10-301, author = {}, title = {A Class of Three-Level Explicit Difference Schemes}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {4}, pages = {301--304}, abstract = { A class of three-level six-point explicit schemes $L_3$ with two parameters s, p and accuracy $O(\tau h+h^2)$ for a dispersion equation $U_1=aU_{xxx}$ is established. The stability condition $|R|\leq 1.35756176$ (s=3/2,p=10184153684) for $L_3$ is better than |R| &139; 1.1851 in [1] and seems to be the best for schemes of the same type. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9363.html} }
TY - JOUR T1 - A Class of Three-Level Explicit Difference Schemes JO - Journal of Computational Mathematics VL - 4 SP - 301 EP - 304 PY - 1992 DA - 1992/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9363.html KW - AB - A class of three-level six-point explicit schemes $L_3$ with two parameters s, p and accuracy $O(\tau h+h^2)$ for a dispersion equation $U_1=aU_{xxx}$ is established. The stability condition $|R|\leq 1.35756176$ (s=3/2,p=10184153684) for $L_3$ is better than |R| &139; 1.1851 in [1] and seems to be the best for schemes of the same type.